Results 41 to 50 of about 7,881 (187)
Some identities related to degenerate Bernoulli and degenerate Euler polynomials
Mathematical and Computer Modelling of Dynamical SystemsThe aim of this paper is to study degenerate Bernoulli and degenerate Euler polynomials and numbers and their higher-order analogues. We express the degenerate Euler polynomials in terms of the degenerate Bernoulli polynomials and vice versa.
Taekyun Kim +3 more
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Journal of Applied Mathematics, 2013 Recently, many mathematicians have studied different kinds of the Euler, Bernoulli, and Genocchi numbers and polynomials. In this paper, we give another definition of polynomials Ũn(x).
J. Y. Kang, C. S. Ryoo
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Some New Identities on the Bernoulli and Euler Numbers
Discrete Dynamics in Nature and Society, 2011 We give some new identities on the Bernoulli and Euler numbers by using the bosonic p-adic integral on Zp and reflection symmetric properties of Bernoulli and Euler polynomials.
Dae San Kim +4 more
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New families of special numbers and polynomials arising from applications of p-adic q-integrals
Advances in Difference Equations, 2017 In this manuscript, generating functions are constructed for the new special families of polynomials and numbers using the p-adic q-integral technique. Partial derivative equations, functional equations and other properties of these generating functions ...
Daeyeoul Kim +3 more
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Karpatsʹkì Matematičnì Publìkacìï, 2022 The aim of this paper is to study new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order $\alpha$ and level $m$ in the variable $x$. Here the degenerate polynomials are a natural extension of the
W. Ramírez, C. Cesarano
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A Parametric Kind of Fubini Polynomials of a Complex Variable
Mathematics, 2020 In this paper, we propose a parametric kind of Fubini polynomials by defining the two specific generating functions. We also investigate some analytical properties (for example, summation formulae, differential formulae and relationships with other well ...
Sunil Kumar Sharma +2 more
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On The Properties Of $q$-Bernstein-Type Polynomials
, 2014 The aim of this paper is to give a new approach to modified $q$-Bernstein polynomials for functions of several variables. By using these polynomials, the recurrence formulas and some new interesting identities related to the second Stirling numbers and ...
Acikgoz, Mehmet +3 more
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A Conversation With David Bellhouse
International Statistical Review, EarlyView.Summary David Richard Bellhouse was born in Winnipeg, Manitoba, on 19 July 1948. He studied actuarial mathematics and statistics at the University of Manitoba (BA, 1970; MA, 1972) and completed his PhD at the University of Waterloo, Ontario, in 1975. After being an Assistant Professor for 1 year at his alma mater, he joined the University of Western ...
Christian Genest
wiley +1 more source
General Convolution Identities for Bernoulli and Euler Polynomials
, 2015 Using general identities for difference operators, as well as a technique of symbolic computation and tools from probability theory, we derive very general kth order (k \ge 2) convolution identities for Bernoulli and Euler polynomials.
Dilcher, K., Vignat, C.
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One‐Dimensional Finite Elements With Arbitrary Cross‐Sectional Displacement Fields
International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.ABSTRACT This paper introduces an unprecedented unified approach for developing structural theories with an arbitrary kinematic variable over the beam cross‐section. Each of the three displacement variables can be analyzed using an independent expansion function. Both the order of the expansion and the number of terms in each field can be any. That is,
E. Carrera, D. Scano, E. Zappino
wiley +1 more source