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Generating functions for generating trees
Discrete Mathematics, 2002 This article corresponds, up to minor typo corrections, to the article submitted to Discrete Mathematics (Elsevier) in Nov. 1999, and published in its vol. 246(1-3), March 2002, pp.
Cyril Banderier +2 more
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Generating functions for the generalized Gauss hypergeometric functions
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H M Srivastava +2 more
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Generating Functions for Hermite Functions
Canadian Journal of Mathematics, 1959Hermite'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, 1968The 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, 1969zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zellner, A., Revankar, N. S.
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Neophobia: generality and function
Behavioral and Neural Biology, 1981The 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, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalization of analytic functions
Applied Mathematics and Computation, 2011Abstract The concept of analyticity for complex functions on time scale complex plane was introduced by Bohner and Guseinov in 2005. They developed completely delta differentiability, delta analytic functions on products of two time scales, and Cauchy–Riemann equations for delta case.
Sinan Kapçak, Ünal Ufuktepe
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A Class of Generating Functions
SIAM Journal on Mathematical Analysis, 1977Generating 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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Generalized Poisson Functionals
Probability Theory and Related Fields, 1988With the aim of treating nonlinear systems with inputs being discrete and outputs being generalized functions, generalized Poisson functionals are defined and analysed, where the U-transforms and the renormalizations play essential roles. For Poisson functionals, the differential operators with respect to a Poisson white noise Ṗ(t), their adjoint ...
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