Results 51 to 60 of about 927 (105)
Supercongruences satisfied by coefficients of 2F1 hypergeometric series [PDF]
, 2009 Recently, Chan, Cooper and Sica conjectured two congruences for coefficients of classical 2F1 hypergeometric series which also arise from power series expansions of modular forms in terms of modular functions.
Chan, Heng Huat +3 more
core
Fully degenerate poly-Bernoulli numbers and polynomials
Open Mathematics, 2016 In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers.
Kim Taekyun, Kim Dae San, Seo Jong-Jin
doaj +1 more source
Generalised Binomial coefficients and Jarden's Theorem [PDF]
, 2013 We prove a stronger version of Jarden's Theorem for recurrence of powers of recursive functionsComment: A section (section 3) concerning the application of Jarden's Theorem is ...
Cheng Lien, Lang, Mong Lung Lang
core
Demonstratio MathematicaThe study of special functions has become an enthralling area in mathematics because of its properties and wide range of applications that are relevant into other fields of knowledge.
Corcino Cristina B. +2 more
doaj +1 more source
Eulerian polynomials as moments, via exponential Riordan arrays [PDF]
, 2011 Using the theory of exponential Riordan arrays and orthogonal polynomials, we demonstrate that the "descending power" Eulerian polynomials, and their once shifted sequence, are moment sequences for simple families of orthogonal polynomials, which we ...
Barry, Paul
core +3 more sources
Some conjectures on the ratio of Hankel transforms for sequences and series reversion [PDF]
, 2007 For each element of certain families of integer sequences, we study the term-wise ratios of the Hankel transforms of three sequences related to that element by series reversion.
Barry, P.
core +1 more source
On Convolved Generalized Fibonacci and Lucas Polynomials [PDF]
, 2013 We define the convolved h(x)-Fibonacci polynomials as an extension of the classical convolved Fibonacci numbers. Then we give some combinatorial formulas involving the h(x)-Fibonacci and h(x)-Lucas polynomials.
Ramírez, José L.
core
Bidimensional Extensions of Cobalancing and Lucas-Cobalancing Numbers
Annales Mathematicae SilesianaeA new bidimensional version of cobalancing numbers and Lucas-balancing numbers are introduced. Some properties and identities satisfied by these new bidimensional sequences are studied.
Chimpanzo J. +4 more
doaj +1 more source
Fourier series of functions involving higher-order ordered Bell polynomials
Open Mathematics, 2017 In 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the ...
Kim Taekyun +3 more
doaj +1 more source
Investigating Exponential and Geometric Polynomials with Euler-Seidel Algorithm [PDF]
, 2010 In this paper we use Euler-Seidel matrices method to find out some properties of exponential and geometric polynomials and numbers.
Dil, Ayhan, Kurt, Veli
core