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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.
Srivastava, H. M. +2 more
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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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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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Harmonic generalized functions in generalized function algebras
Monatshefte für Mathematik, 2009The 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 +1 more
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On a Generalization of the Lagrange Function
American Journal of Physics, 1959Some mechanical aspects of a generalization with s-order derivatives of the Lagrange function are examined.
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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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The Generating Function of Symmetrical Functions
Journal of the London Mathematical Society, 1935openaire +2 more sources