Results 1 to 10 of about 15,530 (193)
Congruences for Generalized q-Bernoulli Polynomials [PDF]
Journal of Inequalities and Applications, 2008 In this paper, we give some further properties of p-adic q-L-function of two variables, which is recently constructed by Kim (2005) and Cenkci (2006).
Veli Kurt, Mehmet Cenkci
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A Note on Symmetric Properties of the Twisted q-Bernoulli Polynomials and the Twisted Generalized q-Bernoulli Polynomials [PDF]
Advances in Difference Equations, 2010 We define the twisted q-Bernoulli polynomials and the twisted generalized q-Bernoulli polynomials attached to χ of higher order and investigate some symmetric properties of them. Furthermore, using these symmetric properties of them, we can obtain
L.-C. Jang +5 more
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Relationships between generalized Bernoulli numbers and polynomials and generalized Euler numbers and polynomials. [PDF]
, 2002 Let \(a,b,c\) be positive numbers. The generalized Bernoulli and Euler numbers are defined via the generating functions \(\frac{t}{b^t-a^t}\) and \(\frac{2c^t}{b^{2t}+a^{2t}}\) respectively, so that the classical sequences are obtained if \(a=1\), \(b=c=e\). A generalization of the Bernoulli and Euler polynomials is introduced in a similar way.
Luo, Qiu-Ming, Qi, Feng
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A generalization of the Bernoulli polynomials [PDF]
Journal of Applied Mathematics, 2003 A generalization of the Bernoulli polynomials and, consequently, of the Bernoulli numbers, is defined starting from suitable generating functions. Furthermore, the differential equations of these new classes of polynomials are derived by means of the factorization method introduced by Infeld and Hull (1951).
Natalini, Pierpaolo, Bernardini, Angela
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Generalizations of Bernoulli numbers and polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 The concepts of Bernoulli numbers Bn, Bernoulli polynomials Bn(x), and the generalized Bernoulli numbers Bn(a, b) are generalized to the one Bn(x; a, b, c) which is called the generalized Bernoulli polynomials depending on three positive real parameters. Numerous properties of these polynomials and some relationships between Bn, Bn(x), Bn(a, b), and Bn(
Qiu-Ming Luo +3 more
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Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
Advances in Difference Equations, 2021 A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function.
Taekyun Kim +4 more
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New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m
Математичні Студії, 2021 We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-$m$. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized $\lambda$-Stirling type numbers of ...
D. Bedoya +3 more
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A Family of Generalized Legendre-Based Apostol-Type Polynomials
Axioms, 2022 Numerous polynomials, their extensions, and variations have been thoroughly explored, owing to their potential applications in a wide variety of research fields.
Talha Usman +3 more
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Mixed-Type Hypergeometric Bernoulli–Gegenbauer Polynomials
Mathematics, 2023 In this paper, we consider a novel family of the mixed-type hypergeometric Bernoulli–Gegenbauer polynomials. This family represents a fascinating fusion between two distinct categories of special functions: hypergeometric Bernoulli polynomials and ...
Dionisio Peralta +2 more
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Fractal and Fractional, 2023 This paper introduces a new type of polynomials generated through the convolution of generalized multivariable Hermite polynomials and Appell polynomials.
Mohra Zayed +2 more
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