A note on expansions involving Meijer's -functions

Author:
Arun Verma

Journal:
Math. Comp. **21** (1967), 107-112

MSC:
Primary 33.21

DOI:
https://doi.org/10.1090/S0025-5718-1967-0223615-1

MathSciNet review:
0223615

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References | Similar Articles | Additional Information

**[1]**R. P. Agarwal, "An extention of Meijer's -function",*Proc. Nat. Inst. Sci. India. Sect. A*, v. 32, 1965.**[2]**Herbert Buchholz,*Bemerkungen zu einer Entwicklungsformel aus der Theorie der Zylinderfunktionen*, Z. Angew. Math. Mech.**25/27**(1947), 245–252 (German, with Russian summary). MR**0022946****[3]**J. L. Burchnall and T. W. Chaundy,*Expansions of Appell’s double hypergeometric functions*, Quart. J. Math., Oxford Ser.**11**(1940), 249–270. MR**0003885****[4]**R. G. Cooke,*Proc. London. Math. Soc.*, v. 28, 1928, pp. 207-241.**[5]**A. Erdélyi, et al.,*Higher Transcendental Functions*, Vol. I, McGraw-Hill, New York, 1953. MR**16**, 419.**[6]**C. S. Meijer, "Expansion theorems for the -functions. I-X,"*Indag. Math.*, v. 14, 1952, pp. 369-379 and 483-487; v. 15, 1953, pp. 43-49, 187-193 and 349-357; v. 16, 1954, pp. 77-82, 83-91 and 273-279; v. 17, 1955, pp. 243-251 and 309-314. MR**14**, 469; MR**14**, 642; MR**14**, 748; MR**14**, 979; MR**15**, 422; MR**16**, 791; MR**15**, 955; MR**16**, 1106.**[7]**A. Verma, "A class of expansions of -functions and the Laplace transform,"*Math. Comp.*, v. 19, 1965, pp. 661-664.**[8]**A. Verma, "Expansions of hypergeometric functions of two variables",*Math. Comp.*, v. 20, 1966, 590-596.**[9]**A. Verma, "A note on an expansion of hypergeometric functions of two variables",*Math. Comp.*, v. 20, 1966, 413-417.**[10]**Jet Wimp and Yudell L. Luke,*Expansion formulas for generalized hypergeometric functions*, Rend. Circ. Mat. Palermo (2)**11**(1962), 351–366. MR**0166405**, https://doi.org/10.1007/BF02843879

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DOI:
https://doi.org/10.1090/S0025-5718-1967-0223615-1

Article copyright:
© Copyright 1967
American Mathematical Society