Results 41 to 50 of about 128,844 (218)
Some Integrals Involving q-Laguerre Polynomials and Applications
Abstract and Applied Analysis, 2013 The integrals involving multivariate q-Laguerre polynomials and then auxiliary ones are studied. In addition, the representations of q-Hermite polynomials by q-Laguerre polynomials and their related integrals are given.
Jian Cao
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Determinant Forms, Difference Equations and Zeros of the q-Hermite-Appell Polynomials
Mathematics, 2018 The present paper intends to introduce the hybrid form of q-special polynomials, namely q-Hermite-Appell polynomials by means of generating function and series definition.
Subuhi Khan, Tabinda Nahid
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Journal of Combinatorial Theory, Series A, 2000 In this paper it is proved, that a so-called Hermite transform which transforms \(x^n\), \(n\in\mathbb{N}_0\) into the \(n\)-th Hermite polynomial \(H_n(x)\) preserves the property of a polynomial having only real roots. (In the proof there is referred to a next paragraph, but it does not exist).
openaire +3 more sources
A curious $q$-analogue of Hermite polynomials
, 2011 17 pagesInternational audienceTwo well-known $q$-Hermite polynomials are the continuous and discrete $q$-Hermite polynomials. In this paper we consider a new family of $q$-Hermite polynomials and prove several curious properties about these polynomials ...
Zeng, Jiang, Cigler, Johann
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Fourier transform of hn(x + p)hn(x − p)
International Journal of Mathematics and Mathematical Sciences, 1997 We evaluate Fourier transform of a function with Hermite polynomials involved. An elementary proof is based on a combinatorial formula for Hermite polynomials.
Mourad E. H. Ismail, Krzystztof Stempak
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Context-Free Grammars for Several Triangular Arrays
Axioms, 2022 In this paper, we present a unified grammatical interpretation of the numbers that satisfy a kind of four-term recurrence relation, including the Bell triangle, the coefficients of modified Hermite polynomials, and the Bessel polynomials.
Roberta Rui Zhou, Jean Yeh, Fuquan Ren
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, 2021 The purpose of this paper is to construct a unified generating function involving the families of the higher-order hypergeometric Bernoulli polynomials and Lagrange–Hermite polynomials.
Ugur Duran +7 more
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Mathematics, 2018 In this paper, we study differential equations arising from the generating functions of Hermit Kamp e ´ de F e ´ riet polynomials. Use this differential equation to give explicit identities for Hermite Kamp e ´ de F
Cheon Seoung Ryoo
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Vertical Price Transmission in Food Markets: New Evidence From Meta‐Analysis
Agribusiness, EarlyView.ABSTRACT A growing body of empirical research has examined price dynamics along the food supply chain, yet findings remain heterogeneous and often conflicting. This study conducts a meta‐analysis of 140 studies, totaling 652 observations, to examine (1) the reported presence of asymmetric price transmission and (2) the reported direction of price ...
Sushan K C +2 more
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Biquadratic Transformations for Checking the Hurwitz Stability via the Schur Stability
Asian Journal of Control, EarlyView.ABSTRACT Bilinear transformations such as the Möbius transformation have been used to study Hurwitz stability by means of Schur stability, or vice versa. However, the use of a well‐known Möbius transformation has pathological cases, hence Jalili–Kharaajoo and Araabi investigated and found a biquadratic transformation to study Schur stability by means ...
Baltazar Aguirre‐Hernández
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