Abstract
Many authors choose to define the special functions in terms of generating functions. Recursion formulas are also conveniently derived from generating functions. In Chapter 9 we obtained the generating function for the Bessel functions1
In this chapter we derive similar expressions for the rest of the special functions we have studied and use them to establish recursion formulas and other relations for these functions.
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© 1991 Springer Science+Business Media New York
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Seaborn, J.B. (1991). Generating Functions and Recursion Formulas. In: Hypergeometric Functions and Their Applications. Texts in Applied Mathematics, vol 8. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5443-8_11
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DOI: https://doi.org/10.1007/978-1-4757-5443-8_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3097-2
Online ISBN: 978-1-4757-5443-8
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