# C T Rajagopal's publications

We list below all the mathematical publications of Cadambathur Tiruvenkatacharlu Rajagopal we have been able to find. These are on three main areas: (i) sequences, series and summability; (ii) functions of a complex variable; and (iii) the history of medieval Kerala mathematics.

- C T Rajagopal, An integral test for the convergence of a series of positive terms,
*Math. Student***3**(1935), 67-69.

- C T Rajagopal, On certain theorems of Pringsheim,
*Tohoku Math. J.***43**(1937), 122-126.

- C T Rajagopal, On an integral test of R W Brink for the convergence of series,
*Bull. Amer. Math. Soc.***43**(1937), 405-412.

- C T Rajagopal, Convergence theorems for series of positive terms,
*J. Indian Math. Soc. (N.S.)***3**(1938), 118-125.

- C T Rajagopal, Some theorems connected with Maclaurin's integral test,
*Math. Gaz.***23**(1939), 456-461.

- C T Rajagopal, On Abel's divergence test for series of positive terms,
*Math. Student***8**(1940), 118-123.

- C T Rajagopal, Remarks on some generalizations of Cauchy's condensation and integral tests,
*Amer. Math. Monthly***48**(1941), 180-185.

- C T Rajagopal, Postscript to convergence theorems for series of positive terms,
*J. Indian Math. Soc. (N.S.)***5**(1941), 113-116.

- C T Rajagopal, On the rearrangement of conditionally convergent series,
*Ann. Math.*(2)**42**(1941), 604-613.

- C T Rajagopal, A proof of Hadamard's factorization theorem,
*Math. Student***9**(1941), 68-72.

- C T Rajagopal, Caratheodory's inequality and allied results,
*Math. Student***9**(1941), 73-77.

- C T Rajagopal, The Abel-Dini and allied theorems,
*Amer. Math. Monthly***51**(1944), 566-570.

- K M Marar and C T Rajagopal, On the Hindu quadrature of the circle,
*J. Bombay Branch Roy. Asiatic Soc. (N.S.)***20**(1944), 65-82.

- C T Rajagopal, Remarks on Cauchy's convergence principle,
*Math. Student***13**(1945), 33-35.

- K M Marar and C T Rajagopal, Gregory's series in the mathematical literature of Kerala,
*Math. Student***13**(1945), 92-98.

- C T Rajagopal, On periodic meromorphic functions,
*J. Indian Math. Soc. (N.S.)***9**(1945), 69-76.

- C T Rajagopal, On converse theorems of summability,
*Math. Gaz.***30**(1946), 272-276.

- C T Rajagopal, On the limits of oscillation of a function and its Cesàro means,
*Proc. Edinburgh Math. Soc.*(2)**7**(1946), 162-167.

- C T Rajagopal, A note on the oscillation of Riesz means of any order,
*J. London Math. Soc.***21**(1946), 275-282 (1947).

- S Minakshisundarm and C T Rajagopal, On a Tauberian theorem of K Ananda Rau,
*Quart. J. Math. (Oxford Ser.)***17**(1946), 153-161.

- C T Rajagopal, Concerning reciprocal screws,
*Math. Student***14**(1946), 75-76.

- C T Rajagopal, Some theorems concerning Riesz's first mean,
*Acad. Serbe Sci. Publ. Inst. Math.***1**(1947), 11-20.

- C T Rajagopal, Errata and addenda, Some theorems concerning Riesz's first mean,
*Acad. Serbe Sci. Publ. Inst. Math.***1**(1947), 856.

- S Minakshisundaram and C T Rajagopal, Postscript to a Tauberian theorem,
*Quart. J. Math. (Oxford Ser.)***18**(1947), 193-196.

- C T Rajagopal, Cesaro summability of a class of functions,
*J. Indian Math. Soc. (N.S.)***11**(1947), 22-27.

- C T Rajagopal, On Riesz summability and summability by Dirichlet's series,
*Amer. J. Math.***69**(1947), 371-378.

- C T Rajagopal, Addendum and corrigendum, On Riesz summability and summability by Dirichlet's series,
*Amer. J. Math.***69**(1947), 851-852.

- C T Rajagopal, Caratheodory's inequality and allied results II,
*Math. Student***15**(1947), 5-7.

- C T Rajagopal, Some limit theorems,
*Amer. J. Math.***70**(1948), 157-166.

- C T Rajagopal, Errata, Some limit theorems,
*Amer. J. Math.***70**(1948), 908.

- S Minakshisundaram and C T Rajagopal, An extension of a Tauberian theorem of L J Mordell,
*Proc. London Math. Soc.*(2)**50**(1948), 242-255.

- C T Rajagopal, On the remainder in Taylor's theorem,
*Math. Student***14**(1946), 71-73 (1948).

- C T Rajagopal, A series associated with Dirichlet's series,
*Acta Univ. Szeged Sect. Sci. Math.***11**(1948), 201-206.

- C T Rajagopal, On some extensions of Ananda Rau's converse of Abel's theorem,
*J. London Math. Soc.***23**(1948), 38-44.

- C T Rajagopal, On an absolute constant in the theory of Tauberian series,
*Proc. Indian Acad. Sci. Sect. A.***28**(1948), 537-544.

- C T Rajagopal, A note on periodic integral functions,
*Duke Math. J.***15**(1948), 11-15.

- C T Rajagopal, On a Tauberian theorem of G Ricci,
*Proc. Edinburgh Math. Soc.*(2)**8**(1949), 143-146.

- C T Rajagopal and A Venkataraman, The sine and cosine power series in Hindu Mathematics,
*J. Roy. Asiatic Soc. Bengal Sci.***15**(1) (1949), 13 pages.

- C T Rajagopal, A neglected chapter of Hindu Mathematics,
*Scripta Math.***15**(1949), 201-209.

- C T Rajagopal, On an absolute constant in the theory of Tauberian series: Postscript,
*Proc. Indian Acad. Sci. Sect. A.***31**(1950), 60-61.

- C T Rajagopal, On a generalization of Tauber's theorem,
*Comment. Math. Helv.***24**(1950), 219-231.

- C T Rajagopal, A note on 'positive' Tauberian theorems,
*J. London Math. Soc.***25**(1950), 315-327.

- C T Rajagopal, On converse theorems of summability: addendum,
*Math. Gaz.***34**(1950), 125.

- C T Rajagopal, A note on generalized Tauberian theorems,
*Proc. Amer. Math. Soc.***2**(1951), 335-349.

- M Parthasarathy and C T Rajagopal, A theorem on the Riemann-Liouville integral,
*Math. Z.***55**(1951), 84-91.

- C T Rajagopal and T V Vedamurthi Aiyar, On the Hindu proof of Gregory's series,
*Scripta Math.***17**(1951), 65-74.

- C T Rajagopal, On the intersection of a central conic and its principal hyperbolas,
*Math. Gaz.***35**(1951), 97-104.

- C T Rajagopal, A note on generalized Tauberian theorems: addendum,
*Proc. Amer. Math. Soc.***3**(1952), 457-458.

- C T Rajagopal, Note on some Tauberian theorems of O Szasz,
*Pacific J. Math.***2**(1952), 377-384.

- C T Rajagopal, On a one-sided Tauberian theorem,
*J. Indian Math. Soc. (N.S.)***16**(1952), 47-54.

- C T Rajagopal, Sui criteri del rapporto per la convergenza della serie a termini positivi,
*Boll. Un. Mat. Ital.*(3)**7**(1952), 382-387.

- C T Rajagopal, Two one-sided Tauberian theorems,
*Arch. Math.***3**(1952), 108-113.

- C T Rajagopal, A note on power series,
*Math. Student***20**(1952), 99-106.

- C T Rajagopal and T V Vedamurthi Aiyar, A Hindu approximation to pi,
*Scripta Math.***18**(1952), 25 30.

- C T Rajagopal, Note on a class of Tauberian series,
*Duke Math. J.***20**(1953), 617-620.

- C T Rajagopal, On the relation of limitation theorems to high indices theorems,
*J. London Math. Soc.***28**(1953), 322-329.

- C T Rajagopal, On Tauberian oscillation theorems,
*Compositio Math.***11**(1953), 71-82.

- C T Rajagopal, A generalization of Tauber's theorem and some Tauberian constants,
*Math. Z.***57**(1953), 405-414.

- C T Rajagopal, On a one-sided Tauberian theorem, a further note,
*J. Indian Math. Soc. (N.S.)***17**(1953), 33-42.

- C T Rajagopal, On inequalities for analytic functions,
*Amer. Math. Monthly***60**(1953), 693-695.

- C T Rajagopal, On Riesz summability and summability by Dirichlet's series, further addendum and corrigendum,
*Amer. J. Math.***76**(1954), 252-258.

- C T Rajagopal, A generalization of Tauber's theorem and some Tauberian constants II,
*Math. Z.***60**(1954), 142-147.

- C T Rajagopal, On an absolute constant in the theory of Tauberian series II,
*Proc. Indian Acad. Sci. Sect. A.***39**(1954), 272-281.

- C T Rajagopal, On Tauberian theorems for the Riemann-Liouville integral,
*Acad. Serbe Sci. Publ. lnst. Math.***6**(1954), 27-46.

- A Jakimovski and C T Rajagopal, Application of a theorem of O. Szasz for the product of Cesaro and Laplace transforms,
*Proc. Amer. Math. Soc.***5**(1954), 370-384.

- C T Rajagopal, Theorems on the product of two summability methods with applications,
*J. Indian Math. Soc. (N.S.)***18**(1954), 89-105.

- C T Rajagopal, A note on Ingham summability and summability by Lambert series,
*Proc. Indian Acad. Sci. Sect. A.***42**(1955), 41-50.

- C T Rajagopal and T Vijayaraghavan), One-sided Tauberian theorems for Borel, Abel and Riemann-seeond- order transforms,
*Rend. Circ. Math. Palermo*(2)**4**(1955), 309-322.

- C T Rajagopal, Additional note on some Tauberian theorems of O Szasz,
*Pacific J. Math.***5**(1955), 971-975.

- C T Rajagopal and V R Srinivasaraghavan,
*An introduction to analytical conics*(Oxford University Press, 1955).

- C T Rajagopal, A generalization of Tauber's theorem and some Tauberian constants III,
*Comment. Math. Helv.***30**(1956), 63-72.

- C T Rajagopal and T Vijayaraghavan), On two Tauberian theorems for the Borel transform of a sequence,
*Proc. Indian Acad. Sci. Sect. A.***43**(1956), 163-172.

- C T Rajagopal, A note on the oscillation of Riesz, Euler and Ingham means,
*Quart. J. Math. Oxford Ser.*(2)**7**(1956), 64-75.

- C T Rajagopal, Some theorems on convergence in density,
*Publ. Math. Debrecen***5**(1957), 77-92.

- C T Rajagopal, On a theorem of Frobenius and Knopp for Abel summability,
*Math. Z.***67**(1957), 310-319.

- C T Rajagopal, A Tauberian theorem for the Riemann-Liouville integral of integral order,
*Canad. J. Math.***9**(1957), 487-499.

- C T Rajagopal, Simplified proofs of 'some Tauberian theorems' of Jakimovski,
*Pacific J. Math.***7**(1957), 955-960.

- C T Rajagopal, Addendum and corrigendum, Simplified proofs of 'some Tauberian theorems' of Jakimovski,
*Pacific J. Math.***7**(1957), 1727.

- C T Rajagopal, On the Riemann-Cesaro summability of series and integrals,
*Tohoku Math. J.*(2)**9**(1957), 247-263.

- C T Rajagopal, Errata, On the Riemann-Cesaro summability of series and integrals,
*Tohoku Math. J.***10**(1958), 366.

- C T Rajagopal, On an absolute constant for a class of power series,
*Math. Scand.***5**(1957), 267-270.

- C T Rajagopal, On Tauberian theorems for Abel-Cesaro summability,
*Proc. Glasgow Math. Assoc.***3**(1958), 176-181.

- M R Parameswaran and C T Rajagopal, Tauberian theorems invariant for a product of two summability methods,
*Math. Z.***73**(1960), 256-267.

- C T Rajagopal, On a theorem connecting Borel and Cesaro summabilities,
*J. Indian Math. Soc. (N.S.)***24**(1960), 433-442 (1961).

- C T Rajagopal, Remarks on a theorem of Kuttner's,
*Quart. J. Math. Oxford Ser.*(2)**11**(1960), 258-262.

- C T Rajagopal, On some extensions of Cauchy's condensation theorem,
*Ann. Polon. Math.***11**(1961), 133-142.

- C T Rajagopal, Convergence and summability of a class of Fourier series,
*Indian J. Math.***3**(1961), 63-72.

- S Parameswaran and C T Rajagopal, Remarks on a Tauberian theorem,
*Quart. J. Math. Oxford Ser.*(2)**13**(1962), 1-6.

- C T Rajagopal, A Tauberian theorem for multiple Fourier series,
*Math. Ann.***148**(1962), 238-243.

- C T Rajagopal, On the Fourier coefficients of functions of $L^{2}$,
*Math. Student***29**(1962), 127-132.

- C T Rajagopal, On an asymptotic relation between an entire function, its derivative and their order,
*Monatsh. Math.***66**(1962), 339-345.

- C T Rajagopal, On the convergence and logarithmic summability of a class of Fourier series,
*Arch. Math.***14**(1963), 304-310.

- C T Rajagopal, On the Norlund summability of Fourier series,
*Proc. Camb. Philos. Soc.***59**(1963), 47-53.

- C T Rajagopal, Glimpses of the history of divergent series in India, Presidential address,
*Section of Mathematics, Indian Science Congress*(1963), 1-24.

- C T Rajagopal, On |C, 1| summability factors of power series and Fourier series,
*Math. Z.***80**(1963), 265-268.

- C T Rajagopal, Some uniform-convergence tests for Fourier series and analogous convergence tests,
*J. London Math. Soc.***38**(1963), 313-324.

- C T Rajagopal, Correction: On the Riemann-Cesaro summability of series and integrals,
*Tohoku Math. J.*(2)**17**(1965), 443.

- A R Reddy and C T Rajagopal, A note on entire functions represented by Dirichlet series,
*Ann. Polon. Math.***17**(1965), 199-208.

- A R Reddy and C T Rajagopal, On a functional equation,
*Proc. Camb. Philos. Soc.***61**(1965), 673-677.

- A R Reddy and C T Rajagopal, Addendum to On a functional equation,
*Proc. Camb. Philos. Soc.***63**(1967), 1091-1092.

- C T Rajagopal, A R Reddy and M Varadarajan, On a class of formulae for the order and lower order of an entire function,
*Indian J. Math.***9**(1967), 477-487.

- C T Rajagopal, K Ananda Rau: A sketch,
*Publ. Ramanujan Inst. No.***1**(1968/69), 1-10.

- C T Rajagopal (ed.), Ananda Rau Memorial Volume,
*Publ. Ramanujan Inst. No.***1**(1968/69).

- C T Rajagopal, Gap Tauberian theorems on oscillation for the Borel method (B),
*J. London Math. Soc.***44**(1969), 41-51.

- C T Rajagopal, Tauberian theorems on oscillation for the $(\phi, \lambda)$ method,
*Publ. Ramanujan Inst. No.***1**(1968/69), 247-267.

- C T Rajagopal, Some converse theorems on the abscissae of summability of general Dirichlet series,
*L'Enseignement Math.*(2)**15**(1969), 245-259.

- C T Rajagopal, K Ananda Rau,
*J. London Math. Soc.***44**(1969), 1-6.

- C T Rajagopal, On a theorem of L A Rubel's for Polya means,
*J. Indian Math. Soc. (N.S.)***34**(1970), 237-251 (1971).

- T V Lakshminarasimhan and C T Rajagopal, On an inequality of S N Bernstein's for the maximum moduli of an entire function and its derivative,
*J. London Math. Soc.*(2)**2**(1970), 83-91.

- C T Rajagopal, On Tauberian theorems for generalized Abel summability,
*Indian J. Math.***14**(1972), 91-103.

- C T Rajagopal and M S Rangachari, On typical Riemann and Bessel summabilities,
*Proc. London Math. Soc.*(3)**24**(1972), 577-589.

- C T Rajagopal and M S Rangachari, Two Tauberian theorems for typical Lambert summability,
*J. London Math. Soc.*(2)**6**(1973), 753-760.

- C T Rajagopal, On Norlund summability and convergence of Fourier series and its conjugate series,
*Indian J. Pure and Applied Math.***5**(1974), 969-976.

- C T Rajagopal, A generalization of Tauber's theorem and some Tauberian constants IV,
*Math. Z.***136**(1974), 331-343.

- C T Rajagopal, On Tauberian theorems for some standard methods of summability,
*J. Indian Math. Soc. (N.S.)***39**(1975), 69-82.

- C T Rajagopal, Stray thoughts on Srinivasa Ramanujan,
*Math. Teacher (India)***11A**(1975), 119-122:

- C T Rajagopal, Correction to: A generalization of Tauber's theorem and some Tauberian constants IV,
*Math. Z.***147**(1976), 301.

- C T Rajagopal, On the relation of Cesàro summability to generalized $(F_{a,q})$ summability,
*Proc. Indian Acad. Sci. Sect. A.***83**(1976), 175-187.

- C T Rajagopal, Addendum and Corrigendum, Stray thoughts on Srinivasa Ramanujan,
*Math. Teacher (India)***12**(1976), 138-139.

- C T Rajagopal and M S Rangachari, On an untapped source of medieval Keralese mathematics,
*Arch. History Exact Sci.***18**(1978), 84-102.

- C T Rajagopal and M S Rangachari, On medieval Kerala mathematics,
*Arch. History Exact Sci.***35**(2) (1986), 91-99.

Last Updated September 2020