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Generating Functions for Ultraspherical Functions

Canadian Journal of Mathematics, 1968
The ultraspherical function1.1for |1 — x| < 2 is a solution of the differential equation1.2This equation has two independent solutions; of the two, only Pn(λ)(x) is analytic at x = 1, aside for some special values of λ, which we shall not consider.
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On generalized convex functions and generalized subdifferential

Optimization Letters, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Class of Generating Functions

SIAM Journal on Mathematical Analysis, 1977
Generating functions of the type $\sum_0^\infty {L_n^{(\alpha + \beta x)} (x)z^n } $, $P_n^{(\alpha + \gamma n,\beta + \delta n)} (x)z^n $ have been obtained recently. In the present paper a general result of this kind is derived making use of the Lagrange expansion. A number of applications are given.
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On a Generalization of the Lagrange Function

American Journal of Physics, 1959
Some mechanical aspects of a generalization with s-order derivatives of the Lagrange function are examined.
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Neophobia: generality and function

Behavioral and Neural Biology, 1981
The hypothesis that neophobia varies directly with the flavor of toxic substances in the natural habitat of a species, and possibly also with the flavors of necessary nutrients in the natural habitat is examined in eight experiments using rats, guinea pigs, and gerbils. Neophobia was found to be an inverted U-shaped function of concentration.
R R, Miller, A D, Holzman
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The Factorial Function and Generalizations

The American Mathematical Monthly, 2000
(2000). The Factorial Function and Generalizations. The American Mathematical Monthly: Vol. 107, No. 9, pp. 783-799.
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Generalization of the modified Bessel function and its generating function

2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Griffiths, J.   +2 more
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A novel chaos based generating function of the Chebyshev polynomials and its applications in image encryption

Chaos, Solitons and Fractals, 2021
Ali Boussayoud   +2 more
exaly  

A FUNCTION GENERATOR

Optometry and Vision Science, 1959
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