Results 21 to 30 of about 194 (93)
A Survey on Orthogonal Polynomials from a Monomiality Principle Point of View
EncyclopediaThis survey highlights the significant role of exponential operators and the monomiality principle in the theory of special polynomials. Using operational calculus formalism, we revisited classical and current results corresponding to a broad class of ...
Clemente Cesarano +2 more
doaj +2 more sources
Multi-variable Gould-Hopper and Laguerre polynomials
Le Matematiche, 2007 The monomiality principle was introduced by G. Dattoli, in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials.
Caterina Cassisa, Paolo E. Ricci
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Fractal and FractionalThe objective of this article is to introduce the ∆h bivariate Appell polynomials ∆hAs[r](λ,η;h) and their extended form via fractional operators. The study described in this paper follows the line of study in which the monomiality principle is used to ...
Musawa Yahya Almusawa
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Generalized Fubini Apostol‐Type Polynomials and Probabilistic Applications
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 The paper aims to introduce and investigate a new class of generalized Fubini‐type polynomials. The generating functions, special cases, and properties are introduced. Using the generating functions, various interesting identities, and relations are derived. Also, special polynomials are obtained from the general class of polynomials.
Rabab S. Gomaa +2 more
wiley +1 more source
Unification of Two‐Variable Family of Apostol‐Type Polynomials with Applications
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, the two‐variable unified family of generalized Apostol‐type polynomials is introduced, and some implicit forms and general symmetry identities are derived. Also, we obtain new degenerate Apostol‐type numbers and polynomials constructed from the new 2‐variable unified family.
Beih S. El-Desouky +3 more
wiley +1 more source
Generalized gould-hopper polynomials [PDF]
, 2021 Bu Bu tez beş bölümden oluşmaktadır. Birinci bölüm giriş kısmına ayrılmıştır. İkinci bölümde önbilgiler ve diğer bölümlerde kullanılacak olan bazı tanımlar ve lemmalar verilmiştir. Üçüncü bölümde, Gould-Hopper polinomları ve genelleştirilmiş Gould-Hopper
Topaloğlu, Mustafa
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Differential and integrodifferential equations for Gould–Hopper–Frobenius–Euler polynomials [PDF]
, 2022 The fundamental aim of this paper is to derive the recurrence relation, shift operators, differential, integrodifferential and partial differential equations for Gould-Hopper-Frobenius-Euler polynomials using factorization method, which may be utilised ...
Araci, Serkan +7 more
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MULTIVARIABLE MATRIX GENERALIZATION OF GOULD-HOPPER POLYNOMIALS [PDF]
, 2015 The main object of this investigation is to define a multivariable matrix generalization of Gould-Hopper polynomials and to reveal some relations such as matrix generating function, matrix recurrence relation, matrix differential equation for them ...
Çekim, Bayram, Aktaş, Rabia
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Journal of the Royal Statistical Society: Series A (Statistics in Society), Volume 183, Issue 3, Page 691-736, June 2020., 2020 Summary Multiple‐systems estimation is a key approach for quantifying hidden populations such as the number of victims of modern slavery. The UK Government published an estimate of 10000–13000 victims, constructed by the present author, as part of the strategy leading to the Modern Slavery Act 2015.
Bernard W. Silverman
wiley +1 more source
Legendre-Gould Hopper-Based Sheffer Polynomials and Operational Methods
, 2020 A remarkably large of number of polynomials have been presented and studied. Among several important polynomials, Legendre polynomials, Gould-Hopper polynomials, and Sheffer polynomials have been intensively investigated.
Junesang Choi +3 more
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