Results 41 to 50 of about 26,055 (202)
A Parametric Type of Cauchy Polynomials with Higher Level
Axioms, 2021 There are many kinds of generalizations of Cauchy numbers and polynomials. Recently, a parametric type of the Bernoulli numbers with level 3 was introduced and studied as a kind of generalization of Bernoulli polynomials.
Takao Komatsu
doaj +1 more source
Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials [PDF]
, 2013 In this paper, we will deal with some new formulae for two product Genocchi polynomials together with both Euler polynomials and Bernoulli polynomials. We get some applications for Genocchi polynomials.
Acikgoz, Mehmet +2 more
core +3 more sources
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.
openaire +3 more sources
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
doaj +1 more source
Bernoulli-Fibonacci Polynomials
, 2020 By using definition of Golden derivative, corresponding Golden exponential function and Fibonomial coefficients, we introduce generating functions for Bernoulli-Fibonacci polynomials and related numbers. Properties of these polynomials and numbers are studied in parallel with usual Bernoulli counterparts.
Pashaev, Oktay K., Ozvatan, Merve
openaire +2 more sources
Some Identities on the q-Bernoulli Numbers and Polynomials with Weight 0
Abstract and Applied Analysis, 2011 Recently, Kim (2011) has introduced the q-Bernoulli numbers with weight α. In this paper, we consider the q-Bernoulli numbers and polynomials with weight α=0 and give p-adic q-integral representation of Bernstein polynomials associated ...
T. Kim, J. Choi, Y. H. Kim
doaj +1 more source
Old and New Identities for Bernoulli Polynomials via Fourier Series
International Journal of Mathematics and Mathematical Sciences, 2012 The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0,1) are linear combinations of terms of ...
Luis M. Navas +2 more
doaj +1 more source
A Note on the Poly-Bernoulli Polynomials of the Second Kind
Journal of Function Spaces, 2020 In this paper, we define the poly-Bernoulli polynomials of the second kind by using the polyexponential function and find some interesting identities of those polynomials.
Sang Jo Yun, Jin-Woo Park
doaj +1 more source
Mathematics, 2020 In this paper, we define cosine Bernoulli polynomials and sine Bernoulli polynomials related to the q-number. Furthermore, we intend to find the properties of these polynomials and check the structure of the roots.
Jung Yoog Kang, Chen Seoung Ryoo
doaj +1 more source
A note on q-Bernoulli numbers and polynomials [PDF]
, 2005 By using p-adic q-integrals, we study the q-Bernoulli numbers and polynomials of higher order.Comment: 8 ...
Barnes E W +18 more
core +1 more source