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I am currently studying real analysis from rudin and really like the chapter on special functions. But Rudin does not give much knowledge about those topics. Reading the references I found book by Emil artin on The Gamma function and really liked it. Are there more books like Emil artin's gamma function on special functions.

choco_addicted
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Sayan Chattopadhyay
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    The answers to What is a special function? have a few book mentions, mostly of a reference kind. – hardmath Feb 04 '16 at 04:58
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    From the short bibliography page 29 in "Safari in the Country of special Functions": https://fr.scribd.com/doc/14623310/Safari-on-the-country-of-the-Special-Functions-Safari-au-pays-des-fonctions-speciales \ [9] : N.Ja.Vilenkine, Fonctions spéciales et théorie de représentation des groupes, Edit. Dunod, 1969. \ [10] : A. Nikiforov, Elements de la théorie des fonctions spéciales, Edit. MIR (Moscou), 1976. \ [11] : P.Appell, J.Kampe de Feriet, Fonctions hypergéométriques et hypersphériques; Polynômes d'Hermite, Gauthier-Villar edit., 1926. – JJacquelin Feb 04 '16 at 08:26
  • \ [5] : M.Abramowitz, I.A.Stegun, Handbook of Mathematical Functions, Dover Publications, N.-Y., 1972 \ [6] : H.Batemann, Higher Transcendental Functions (3 volumes), Edit. Mc. Graw-Hill, N.- Y.,1953. \ [7] : H.Batemann, Tables of Integral Transforms, Integrals of Higher Transcendental Functions, Vol.2, pp.263-447, Edit. Mc. Graw-Hill, N.-Y.,1954. – JJacquelin Feb 04 '16 at 08:27

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The second half of Whittaker and Watson's A Course of Modern Analysis is devoted to special functions.

David
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I used to use Special Functions and Orthogonal Polynomials for reference on special functions.

Trajan
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