A note on an expansion of hypergeometric functions of two variables
Author:
Arun Verma
Journal:
Math. Comp. 20 (1966), 413417
Fulltext PDF Free Access
References 
Additional Information
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 [1]
 R. P. Agarwal, "An extension of Meijer's function," Proc. Nat. Inst. Sci. India Part A, v. 32, 1965. (To appear.) MR 0204717 (34:4555)
 [2]
 W. N. Bailey, "Some expansions in Bessel functions involving Appell functions ," Quart. J. Math. Oxford Ser., v. 6, 1935, pp. 233238.
 [3]
 T. W. Chaundy, "Expansions of hypergeometric functions," Quart. J. Math. Oxford Ser., v. 13, 1942, pp. 159171 MR 4, 197. MR 0007819 (4:197d)
 [4]
 L. Carlitz & W. A. AlSalam, "Some functions associated with Bessel functions," J. Math. Mech., v. 12, 1963, pp. 911933. MR 27 #4962. MR 0155020 (27:4962)
 [5]
 C. Fox, "The expansion of hypergeometric function in terms of similar series," Proc. London Math. Soc., v. 26, 1927, pp. 201210.
 [6]
 J. L. Fields & Jet Wimp, "Expansions of hypergeometric functions in hypergeometric functions," Math. Comp., v. 15, 1961, pp. 390396. MR 23 #A3289. MR 0125992 (23:A3289)
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 C. S. Meijer, "Expansion theorems for the function," a) I, II, Nederl. Akad. Wetensch. Proc. Ser. A, v. Indag. Math., v. 14, 1952, pp. 369 379, 483487. MR 14, 469, 642; b) III, IV, V, Nederl. Akad. Wetensch. Proc. Ser. A, v. Indag. Math., v. 15, 1953, pp. 4349, 187193, 349357. MR 14, 748, 979; MR 15, 422; c) ibid., VI, VII, VIII, Nederl. Akad. Wetensch. Proc. Ser. A, v. Indag. Math., v. 16, 1954, pp. 7782, 8391, 273279. MR 15, 791, 955; d) ibid., IX, X, Nederl. Akad. Wetensch. Proc. Ser. A, v. Indag. Math., v. 17, 1955, pp. 243251, 309314. MR 16, 1106; e) ibid., XI, Nederl. Akad. Wetensch. Proc. Ser. A, v. Indag. Math., v. 18, 1956, pp. 7082. MR 17, 846. MR 0051373 (14:469e)
 [8]
 S. O. Rice, "On contour integrals for the product of Bessel functions," Quart. J. Math. Oxford Ser., v. 6, 1935, pp. 5264.
 [9]
 H. M. Srivastava, "Some expansions in product of hypergeometric functions," Proc. Cambridge Philos. Soc., v. 62, 1965. MR 0188501 (32:5939)
 [10]
 A. Verma, "A class of expansions of functions and the Laplace transform," Math. Comp., v. 19, 1965, pp. 661664.
 [11]
 A. Verma, "Certain expansions involving generalised basic hypergeometric series," Math. Comp., v. 20, 1966, pp. 151157.
 [12]
 A. Verma, "Expansions of hypergeometric functions of two variables," Collect. Math. (To appear.)
 [13]
 Jet Wimp & Y. L. Luke, "Expansion formulas for generalised hypergeometric functions," Rend. Circ. Mat. Palermo, (2), v. 11, 1962, pp. 351366. MR 0166405 (29:3681)
Additional Information
DOI:
http://dx.doi.org/10.1090/S0025571866999303
PII:
S 00255718(66)999303
Article copyright:
© Copyright 1966
American Mathematical Society
