# 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.

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

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

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

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

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

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

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

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

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

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

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

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

13. 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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

31. 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.

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

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

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

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

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

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

38. 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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

65. 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.

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

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

68. 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.

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

101. 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.

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

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

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

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

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

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

108. 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).

109. 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.

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

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

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

113. 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.

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

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

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

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

118. 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.

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

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

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

Last Updated September 2020