Results 11 to 20 of about 2,647,585 (290)

Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics

open access: yesOpen Physics, 2004
A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. We present in a unified and explicit way all these systems of orthogonal polynomials, the associated special functions ...
Cotfas Nicolae
doaj   +3 more sources

Groups, Jacobi functions, and rigged Hilbert spaces [PDF]

open access: yes, 2020
This paper is a contribution to the study of the relations between special functions, Lie algebras and rigged Hilbert spaces. The discrete indices and continuous variables of special functions are in correspondence with the representations of their ...
Celeghini, Enrico   +2 more
core   +1 more source

Special functions and twisted $L$-series [PDF]

open access: yes, 2016
We introduce a generalization of the Anderson-Thakur special function, and we prove a rationality result for several variable twisted $L$-series associated to shtuka ...
Anglès, Bruno   +2 more
core   +5 more sources

A Generalized Family of Exponentiated Composite Distributions

open access: yesMathematics, 2022
In this paper, we propose a new family of distributions, by exponentiating the random variables associated with the probability density functions of composite distributions. We also derive some mathematical properties of this new family of distributions,
Bowen Liu, Malwane M. A. Ananda
doaj   +1 more source

Geometric properties of the meromorphic functions class through special functions associated with a linear operator [PDF]

open access: yesAdvances in Continuous and Discrete Models, 2022
AbstractAccording to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to study operators is to utilize the convolution product. The dynamic techniques of convolution have attracted numerous complex analyses in current research.
F. Ghanim   +2 more
openaire   +1 more source

A hybrid asymptotic formula for the second moment of Rankin-Selberg L-functions [PDF]

open access: yes, 2011
We consider the Rankin-Selberg L-functions associated with a fixed modular form of full level and holomorphic cuspidal newforms of large even weight, fixed level and fixed primitive nebentypus.
Blomer, Valentin, Harcos, Gergely
core   +2 more sources

ON CUBATURE RULES ASSOCIATED TO WEYL GROUP ORBIT FUNCTIONS

open access: yesActa Polytechnica, 2016
The aim of this article is to describe several cubature formulas related to the Weyl group orbit functions, i.e. to the special cases of the Jacobi polynomials associated to root systems.
Lenka Háková   +2 more
doaj   +1 more source

Table in Gradshteyn and Ryzhik: Derivation of Definite Integrals of a Hyperbolic Function

open access: yesSci, 2021
We present a method using contour integration to derive definite integrals and their associated infinite sums which can be expressed as a special function. We give a proof of the basic equation and some examples of the method.
Robert Reynolds, Allan Stauffer
doaj   +1 more source

Dissociation and Association of Fumarase Subunits with Special Reference to the Formation of a Functional Tetramer [PDF]

open access: yesEuropean Journal of Biochemistry, 1979
Swine heart fumarase is known to exist as a tetramer which can be dissociated with denaturing agents into inactive subunits. We have succeeded, for the first time, in reverting once‐dissociated subunits to form a functional tetramer, and studied the mechanism of the restoration of its activity.Incubation of fumarase in a medium containing 50 mM sodium ...
S, Yamato, T, Murachi
openaire   +2 more sources

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