Results 1 to 10 of about 27,298 (248)
Bernoulli F-polynomials and Fibo–Bernoulli matrices [PDF]
Advances in Difference Equations, 2019 In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new
Semra Kuş, Naim Tuglu, Taekyun Kim
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Fourier Series for the Tangent Polynomials, Tangent–Bernoulli and Tangent–Genocchi Polynomials of Higher Order [PDF]
Axioms, 2022 In this paper, the Fourier series expansion of Tangent polynomials of higher order is derived using the Cauchy residue theorem. Moreover, some variations of higher-order Tangent polynomials are defined by mixing the concept of Tangent polynomials with ...
Cristina Bordaje Corcino +1 more
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Generalised Bernoulli polynomials and series [PDF]
Bulletin of the Australian Mathematical Society, 2000 We present several results related to the recently introduced generalised Bernoulli polynomials. Some recurrence relations are given, which permit us to compute efficiently the polynomials in question. The sums , where jk = jk (α) are the zeros of the Bessel function of the first kind of order α, are evaluated in terms of these polynomials.
Clément Frappier
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Bernoulli Related Polynomials and Numbers [PDF]
Mathematics of Computation, 1979 The polynomials φ n ( x ; a , b ) {\varphi _n}(x;a,b) of degree n defined by the equations \[ Δ a φ n ( x
Ch. A. Charalambides
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Bernoulli Basis and the Product of Several Bernoulli Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We develop methods for computing the product of several Bernoulli and Euler polynomials by using Bernoulli basis for the vector space of polynomials of degree less than or equal to n.
Dae San Kim, Taekyun Kim
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Probabilistic degenerate Bernoulli and degenerate Euler polynomials [PDF]
Mathematical and Computer Modelling of Dynamical SystemsRecently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Lingling Luo +3 more
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Advances in Difference Equations, 2010 We define the twisted -Bernoulli polynomials and the twisted generalized -Bernoulli polynomials attached to of higher order and investigate some symmetric properties of them.
Lee B +5 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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Orthogonalizing q −Bernoulli Polynomials
Demonstratio Mathematica, 2023 In this study, we utilize the Gram-Schmidt orthogonalization method to construct a new set of orthogonal polynomials called O B n ( x , q ) from the q−Bernoulli polynomials. We demonstrate the relationship between O B n ( x , q ) polynomials and the little q−Legendre polynomials, and derive a generalized formula for O B n ( x , q ) by leveraging the ...
Naim Tuglu, SEMRA KUŞ
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DENOMINATORS OF BERNOULLI POLYNOMIALS [PDF]
Mathematika, 2018 25 ...
Bordellès, Olivier +3 more
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