Results 231 to 240 of about 521,431 (264)

Generating functions for the generalized Gauss hypergeometric functions

Applied Mathematics and Computation, 2014
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P Agarwal, S Jain
exaly   +3 more sources

Generating Functions for Hermite Functions

Canadian Journal of Mathematics, 1959
Hermite's function Hn(x) is denned for all complex values of x and n bywhere F (α; γ; x) is Kummer's function with the customary indices omitted. It satisfies the differential equation1.1of whichis a second solution. Every solution of (1.1) is an entire function.
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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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Generalized Production Functions

The Review of Economic Studies, 1969
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Zellner, A., Revankar, N. S.
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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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On generalized convex functions and generalized subdifferential

Optimization Letters, 2018
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Harmonic generalized functions in generalized function algebras

Monatshefte für Mathematik, 2009
The analysis of properties of harmonic generalized functions within the framework of Colombeau theory is carried out. The authors present generalizations of the maximum principle and Liouville's theorem for harmonic generalized functions. The Dirichlet problem is solved by an application of the Poisson formula in the framework of generalized functions.
Pilipović, Stevan, Scarpalézos, Dimitris   +1 more
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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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