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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On dual series relations involving series of generalized Bateman $K$-functions
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by K. N. Srivastava PDF
Proc. Amer. Math. Soc. 17 (1966), 796-802 Request permission
References
  • W. D. Collins, On some dual series equations and their application to electrostatic problems for spheroidal caps, Proc. Cambridge Philos. Soc. 57 (1961), 367–384. MR 127158, DOI 10.1017/s0305004100035325
  • J. C. Cooke and C. J. Tranter, Dual Fourier-Bessel series, Quart. J. Mech. Appl. Math. 12 (1959), 379–386. MR 110434, DOI 10.1093/qjmam/12.3.379
    • N. K. Charkrabarty, On generalization of Bateman $K$-function, Bull. Calcutta Math. Soc. 45 (1953), 1-7. A. Erdelyi (Editor), Tables of integral transforms, Vol. 2, McGraw-Hill, New York, 1954.
  • B. Noble, Some dual series equations involving Jacobi polynomials, Proc. Cambridge Philos. Soc. 59 (1963), 363–371. MR 147685
  • I. N. Sneddon and R. P. Srivastav, Dual series relations. I. Dual relations involving Fourier-Bessel series, Proc. Roy. Soc. Edinburgh Sect. A 66 (1962/63), 150–160 (1964). MR 166542
  • R. P. Srivastav, Dual series relations. II. Dual relations involving Dini Series, Proc. Roy. Soc. Edinburgh Sect. A 66 (1962/63), 161–172 (1964). MR 166543
  • R. P. Srivastav, Dual series relations. III. Dual relations involving trigonometric series, Proc. Roy. Soc. Edinburgh Sect. A 66 (1962/63), 173–184 (1964). MR 166544
  • R. P. Srivastav, Dual series relations. IV. Dual relations involving series of Jacobi polynomials, Proc. Roy. Soc. Edinburgh Sect. A 66 (1962/63), 185–191 (1964). MR 166545
  • C. J. Tranter, Dual trigonometrical series, Proc. Glasgow Math. Assoc. 4 (1959), 49–57 (1959). MR 123136
  • C. J. Tranter, A further note on dual trigonometrical series, Proc. Glasgow Math. Assoc. 4 (1960), 198–200 (1960). MR 123137
  • C. J. Tranter, An improved method for dual trigonometrical series, Proc. Glasgow Math. Assoc. 6 (1964), 136–140 (1964). MR 165305
    • E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge, 1922.
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Additional Information
  • © Copyright 1966 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 17 (1966), 796-802
  • MSC: Primary 42.15
  • DOI: https://doi.org/10.1090/S0002-9939-1966-0194840-4
  • MathSciNet review: 0194840