Results 31 to 40 of about 1,211,006 (289)
Advances in Difference Equations, 2018 In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters.
Ayşegül Çetinkaya +3 more
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Systems of functional equations, the generalized shift, and modelling pathological functions [PDF]
arXiv, 2023 The present article is devoted to one class of generalizations of the Salem functions. To construct such functions by systems of functional equations, the generalized shift operator is used.
arxiv
Method for Obtaining Coefficients of Powers of Multivariate Generating Functions
Mathematics, 2023 There are several general concepts that allow obtaining explicit formulas for the coefficients of generating functions in one variable by using their powers. One such concept is the application of compositae of generating functions.
Dmitry Kruchinin +2 more
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Journal of Discrete Algorithms, 2004 AbstractWe present problems in different application areas: tandem repeats (computational biology), poetry and music analysis, and author validation, that require a more sophisticated pattern matching model that hitherto considered.We introduce a new matching criterion—generalized function matching—that encapsulates the notion suggested by the above ...
Igor Nor, Amihood Amir
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A new family of q-Bernstein polynomials: probabilistic viewpoint
Arab Journal of Basic and Applied SciencesIn this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc +2 more
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Internal clocks induced by generating functions
Heliyon, 2018 We introduce a nonlinear model that defines a complex system possessing diverse mediums shaped by generating functions. Our model is implemented on systems with internal clocks.
Yehuda Roth
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Generalized Elliptic-Type Integrals and Generating Functions
Demonstratio Mathematica, 2014 On account of analytical importance or application in certain problems in radiation physics and nuclear technology, several interesting families of elliptic-type integrals were recently studied by many authors.
Chaurasia V. B. L., Singh Yudhveer
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Deriving Mixture Distributions Through Moment-Generating Functions
Journal of Statistical Theory and Applications (JSTA), 2020 This article aims to make use of moment-generating functions (mgfs) to derive the density of mixture distributions from hierarchical models. When the mgf of a mixture distribution doesn't exist, one can extend the approach to characteristic ...
Subhash Bagui, Jia Liu, Shen Zhang
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Mathematics, 2023 The purpose of this article is to give relations among the uniform B-splines, the Bernstein basis functions, and certain families of special numbers and polynomials with the aid of the generating functions method.
Yilmaz Simsek
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On the generalized Wannier functions [PDF]
Journal of Mathematical Physics, 2015 We consider single particle Schrödinger operators with a gap in the energy spectrum. We construct a complete, orthonormal basis function set for the invariant space corresponding to the spectrum below the spectral gap, which are exponentially localized around a set of closed surfaces of monotonically increasing sizes. Estimates on the exponential decay
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