Results 111 to 120 of about 26,055 (202)
A New Approach to
Advances in Difference Equations, 2010 We present a new generating function related to the -Bernoulli numbers and -Bernoulli polynomials. We give a new construction of these numbers and polynomials related to the second-kind Stirling numbers and -Bernstein polynomials.
Açikgöz Mehmet +2 more
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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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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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On the 𝑞-Bernoulli Numbers and Polynomials with Weight 𝜶
Abstract and Applied Analysis, 2011 We present a systemic study of some families of higher-order 𝑞-Bernoulli numbers and polynomials with weight 𝛼. From these studies, we derive some interesting identities on the 𝑞-Bernoulli numbers and polynomials with weight 𝛼.
T. Kim, J. Choi
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Congruences involving Bernoulli polynomials
Discrete Mathematics, 2008 The author proves congruences modulo \(p\), an odd prime, between values of Bernoulli polynomials \(B_n(x)\) and certain sums of Kronecker symbols \(({k\over p})\) or, alternatively, sums of binomial coefficients \(p\choose k\). He also proves similar congruences for Euler polynomials \(E_n(x)\).
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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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Behavioral Modeling of Memristors under Harmonic Excitation. [PDF]
Micromachines (Basel), 2023 Solovyeva E, Serdyuk A.
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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.
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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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On p-Bernoulli numbers and polynomials
Journal of Number Theory, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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