Results 91 to 100 of about 146,038 (187)
A new family of q-Bernstein polynomials: probabilistic viewpoint
Arab Journal of Basic and Applied SciencesIn this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc +2 more
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General congruences for Bernoulli polynomials
Discrete Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS
, 2011 In this paper we investigate special generalized Bernoulli polynomials that generalize classical Bernoulli polynomials and numbers. We call them poly-Bernoulli polynomials. We prove a collection of extremely important and fundamental identities satisfied
Hamahata, Yoshinori +2 more
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Nonlinear Identities for Bernoulli and Euler Polynomials
, 2018 It is shown that a certain nonlinear expression for Bernoulli polynomials, related to higher-order convolutions, can be evaluated as a product of simple linear polynomials with integer coefficients.
Dilcher, Karl
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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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A symbolic approach to some identities for Bernoulli-Barnes polynomials
, 2016 International audienceThe Bernoulli–Barnes polynomials are defined as a natural multidimensional extension of the classical Bernoulli polynomials. Many of the properties of the Bernoulli polynomials admit extensions to this new family.
Vignat, Christophe +2 more
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Bernoulli polynomials of the first kind
, 1958 Thesis (M.A.)-- University of Wichita, College of Liberal Arts and Sciences, Dept. of MathematicsProperties of the Bernoulli polynomials -- Bernulli Series -- Laplace transformations of the Bernoulli polynomials -- Bernoulli integral transformations ...
Bargen, Ralph K.
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Laguerre-Type Bernoulli and Euler Numbers and Related Fractional Polynomials
MathematicsWe extended the classical Bernoulli and Euler numbers and polynomials to introduce the Laguerre-type Bernoulli and Euler numbers and related fractional polynomials.
Paolo Emilio Ricci +2 more
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Solution of the nonlinear mixed Volterra-Fredholm integral equations by hybrid of block-pulse functions and Bernoulli polynomials. [PDF]
ScientificWorldJournal, 2014 Mashayekhi S, Razzaghi M, Tripak O.
europepmc +1 more source
GENERALIZED BINOMIAL EXPANSIONS AND BERNOULLI POLYNOMIALS
, 2014 We investigate generalized binomial expansions that arise from two-dimensional sequences satisfying a broad generalization of the triangular recurrence for binomial coefficients. In particular, we present a new combinatorial formula for such sequences in terms of a 'shift by rank' quasi-expansion based on ordered set partitions.
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