A class of expansions of -functions and the Laplace transform

Author:
Arun Verma

Journal:
Math. Comp. **19** (1965), 664-666

DOI:
https://doi.org/10.1090/S0025-5718-65-99946-1

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References | Additional Information

**[1]**T. W. Chaundy, "Some hypergeometric identities",*J. London Math. Soc.*v. 26, 1951, pp. 42-44. MR**12**, 410. MR**0038497 (12:410d)****[2]**A. Erdélyi et al.,*Higher Transcendental Functions*, Vol. I, McGraw-Hill, New York, 1953. MR**15**, 419.**[3]**J. L. Fields & Jet Wimp, "Expansions of hypergeometric functions in hypergeometric functions,"*Math. Comp.*v. 15, 1961, pp. 390-395. MR**23**#A3289. MR**0125992 (23:A3289)****[4]**C. S. Meijer, "Expansion theorems for -functions I-XI,"*Indag. Math.*, v. 14-18, 1952- 1956, pp. 369-379; 483-487; 43-49; 187-193; 349-357; 77-82; 83-91; 273-279; 243-251; 309-314; 70-82. MR**14**, 469; MR**14**, 642; MR**14**, 748; MR**15**, 422; MR**15**, 791; MR**15**, 955; MR**16**, 1106; MR**17**, 846.**[5]**J. D. Niblett, "Some hypergeometric identities,"*Pacific J. Math.*, v. 2, 1952, pp. 219- 225. MR**13**, 940. MR**0047837 (13:940c)****[6]**Jet Wimp & Y. L. Luke, "Expansion formulas for generalised hypergeometric functions,"*Rend. Circ. Mat. Palermo.*(2) v. 12, 1962, pp. 351-366. MR**0166405 (29:3681)****[7]**L. Carlitz & W. A. Alsalam, "Some functions associated with the Bessel functions,"*J. Mach. Math.*, v. 12, 1963, pp. 911-933. MR**0155020 (27:4962)**

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DOI:
https://doi.org/10.1090/S0025-5718-65-99946-1

Article copyright:
© Copyright 1965
American Mathematical Society