Results 11 to 20 of about 686 (63)
INTERPOLATION FUNCTION OF THE GENOCCHI TYPE POLYNOMIALS [PDF]
, 2010 The main purpose of this paper is to construct not only generating functions of the new approach Genocchi type numbers and polynomials but also interpolation function of these numbers and polynomials which are related to a, b, c arbitrary positive real ...
Burak Kurt, Y. Simsek
semanticscholar +1 more source
Advances in Differential Equations, 2014 In this article, we give some identities for the q-Bernoulli polynomials, q-Euler polynomials and q-Genocchi polynomials and recurrence relations between these polynomials in (Mahmudov in Discrete Dyn. Nat. Soc. 2012:169348, 2012; Mahmudov in Adv. Differ.
V. Kurt
semanticscholar +2 more sources
Evaluation of integrals with hypergeometric and logarithmic functions
Open Mathematics, 2018 We provide an explicit analytical representation for a number of logarithmic integrals in terms of the Lerch transcendent function and other special functions.
Sofo Anthony
doaj +1 more source
Some Wolstenholme type congruences [PDF]
, 2013 In this paper we give an extension and another proof of the following Wolstenholme's type curious congruence established in 2008 by J. Zhao. Let s and l be two positive integers and let p be a prime such that p ls + 3.
Meštrović, Romeo
core +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 39, Page 2507-2518, 2003., 2003 We prove that powers of 4‐netted matrices (the entries satisfy a four‐term recurrence δai,j = αai−1,j + βai−1,j + γai,j−1) preserve the property of nettedness: the entries of the eth power satisfy δeai,j(e)=αeai−1,j(e)+βeai−11,j−(e)+γeai,j−1(e), where the coefficients are all instances of the same sequence xe+1 = (β + δ)xe − (βδ + αγ)xe−1.
Pantelimon Stănică
wiley +1 more source
Polynomial extension of Fleck's congruence [PDF]
, 2005 Let $p$ be a prime, and let $f(x)$ be an integer-valued polynomial. By a combinatorial approach, we obtain a nontrivial lower bound of the $p$-adic order of the sum $$\sum_{k=r(mod p^{\beta})}\binom{n}{k}(-1)^k f([(k-r)/p^{\alpha}]),$$ where $\alpha\ge ...
Sun, Zhi-Wei
core +3 more sources
Applications of a generalized q-difference equation
Advances in Differential Equations, 2014 In this paper, we establish one general q-exponential operator identity by solving one simple q-difference equation. Using this q-difference equation, we get some generalizations of Andrews-Askey and Askey-Wilson integral.
Jian-Ping Fang
semanticscholar +2 more sources
Explicit Formulas involving q-Euler Numbers and Polynomials [PDF]
, 2012 In this paper, we deal with q-Euler numbers and q-Bernoulli numbers. We derive some interesting relations for q-Euler numbers and polynomials by using their generating function and derivative operator.
Acikgoz, Mehmet +2 more
core +4 more sources
Power sums in hyperbolic Pascal triangles
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper, we describe a method to determine the power sum of the elements of the rows in the hyperbolic Pascal triangles corresponding to –4, q} with q ≥ 5. The method is based on the theory of linear recurrences, and the results are demonstrated by
Németh László, Szalay László
doaj +1 more source
Unified Bernstein and Bleimann-Butzer-Hahn basis and its properties
Advances in Differential Equations, 2013 In this paper we introduce the unification of Bernstein and Bleimann-Butzer-Hahn basis via the generating function. We give the representation of this unified family in terms of Apostol-type polynomials and Stirling numbers of the second kind.
M. A. Özarslan, M. Bozer
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