Results 91 to 100 of about 15,530 (193)
Miskolc Mathematical NotesMotivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other field of applied mathematics, a variety of polynomials and numbers with their variants and ...
Waseem Ahmad Khan +2 more
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Some fundamental Fibonacci number congruences [PDF]
Notes on Number Theory and Discrete MathematicsThis paper investigates a number of congruence properties related to the coefficients of a generalized Fibonacci polynomial. This polynomial was defined to produce properties comparable with those of the standard polynomials of some special functions ...
Anthony G. Shannon +3 more
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A Unified Calculus Using the Generalized Bernoulli Polynomials
Journal of Approximation Theory, 2001 The \(\alpha\)-Bernoulli polynomials \(B_{n,\alpha}(x)\) are defined by the generating function \[ {e^{(x- 1/2)z}\over g_\alpha({iz\over 2})}= \sum^\infty_{n= 0} {B_{n,\alpha}(x)\over n!} z^n, \] where \(g_\alpha(z):= 2^\alpha \Gamma(\alpha+ 1)(J_\alpha(z)/z^\alpha)\), the series converges for \(|z|< 2|j_1|\), where \(j_1= j_1(\alpha)\) is a zero of ...
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Generalizations of Poly-Bernoulli numbers and polynomials
, 2012 10 ...
Jolany, Hassan +2 more
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Large degree asymptotics of generalized Bernoulli and Euler polynomials
Journal of Mathematical Analysis and Applications, 2010 Asymptotic expansions are given for large values of $n$ of the generalized Bernoulli polynomials $B_n^ (z)$ and Euler polynomials $E_n^ (z)$. In a previous paper L pez and Temme (1999) these polynomials have been considered for large values of $ $, with $n$ fixed.
López, José Luis, Temme, Nico M.
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Other approaches for generalized Bernoulli-Euler polynomials and beyond
Rendiconti di Matematica e delle Sue Applicazioni, 2023 Special polynomials and numbers possess much importance in multifarious areas of sciences such as physics, mathematics, applied sciences, engineering, and other related research fields covering differential equations, number theory, functional analysis, quantum mechanics, mathematical analysis, mathematical physics, and so on.
Hacène Belbachir +2 more
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Congruences for Generalized
Journal of Inequalities and Applications, 2008 In this paper, we give some further properties of -adic - -function of two variables, which is recently constructed by Kim (2005) and Cenkci (2006).
Cenkci Mehmet, Kurt Veli
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MathematicsThis paper presents a novel generalization of the mth-order Laguerre and Laguerre-based Appell polynomials and examines their fundamental properties. By establishing quasi-monomiality, we derive key results, including recurrence relations, multiplicative
Waseem Ahmad Khan +4 more
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Simplifying large spin bootstrap in Mellin space
Journal of High Energy Physics, 2018 We set up the conventional conformal bootstrap equations in Mellin space and analyse the anomalous dimensions and OPE coefficients of large spin double trace operators.
Parijat Dey, Kausik Ghosh, Aninda Sinha
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Arakawa–Kaneko L-functions and generalized poly-Bernoulli polynomials
Journal of Number Theory, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bayad, Abdelmejid, Hamahata, Yoshinori
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