Geodesic
Summation of a series of products of E-functions
Glasgow mathematical journal, Tome 5 (1962) no. 3, pp. 118-120

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In previous papers [1, 2, 3] the sums of a number of series of products of E-functions have been found. For the definitions and properties of the E-functions the reader is referred to [4, pp. 348–358]. In § 3 a further series of this type is given. The proof is based on an integral of an E-function with respect to its parameters, to be established in § 2. Similar integrals were given in [5] and [6]. 
Ragab, F. M. Summation of a series of products of E-functions. Glasgow mathematical journal, Tome 5 (1962) no. 3, pp. 118-120. doi: 10.1017/S2040618500034456
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[1] 1.Ragab, F. M., Expansion of an E-function in a series of products of E-functions, Proc. Glasgow Math. Assoc. 3 (1958), 194–195. Google Scholar | DOI

[2] 2.Ragab, F. M., Expansions for products of two Whittaker functions, Div. Electromag. Res., Inst. Math. Sci., New York Univ., Res. Rep. No. BR–23 (1957). Google Scholar

[3] 3.Ragab, F. M., An expansion involving confluent hypergeometric functions, Nieuw Arch. Wisk. (3) 6 (1958), 52–54. Google Scholar

[4] 4.MacRobert, T. M., Functions of a complex variable, 4th edn. (London, 1954). Google Scholar

[5] 5.Ragab, F. M., Integration of E-functions and related functions with respect to their parameters, Nederl. Akad. Wetensch. Proc. Ser. A 61 (1958), 335–340. Google Scholar | DOI

[6] 6.Ragab, F. M., Integration of E-functions with regard to their parameters, Proc. Glasgow Math. Assoc. 3 (1957), 94–98. Google Scholar | DOI

[7] 7.Bailey, W. N., Generalized hypergeometric series (Cambridge, 1935). Google Scholar

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