Results 41 to 50 of about 9,252,756 (359)

Non-linear difference polynomials sharing a polynomial with finite weight

Ratio Mathematica
The uniqueness theory of meromorphic function mainly studies the conditions under which there exists only one function satisfying these conditions. The uniqueness theory of entire and meromorphic functions has grown up as an extensive sub-field of value ...
Harina Pandit Waghamore, Preetham Nataraj Raj   +1 more
doaj   +1 more source

Zeros of difference polynomials

Journal of Approximation Theory, 1992
Studies --- both analytic and numerical --- on polynomials have been of immense interest for long. Here the authors deal in detail with various questions relating to the zeros of difference polynomials. Particularly, defining the difference operator by \(\Delta f(x)=f(x+1)-f(x)\), the polynomial \(\Delta^ mx^ n\) of degree \((n-m)\) having \((n-m ...
Evans, Ronald J, Wavrik, John J
openaire   +2 more sources

Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems

, 2013
We study the Plancherel--Rotach asymptotics of four families of orthogonal polynomials, the Chen--Ismail polynomials, the Berg-Letessier-Valent polynomials, the Conrad--Flajolet polynomials I and II.
Dai, Dan, Ismail, Mourad E. H., Wang, Xiang-Sheng   +2 more
core   +1 more source

q-Calculus as operational algebra; pp. 73–97 [PDF]

Proceedings of the Estonian Academy of Sciences, 2009
This second paper on operational calculus is a continuation of Ernst, T. q-Analogues of some operational formulas. Algebras Groups Geom., 2006, 23(4), 354–374. We find multiple q-analogues of formulas in Carlitz, L.
Thomas Ernst
doaj   +1 more source

Some homogeneous q-difference operators and the associated generalized Hahn polynomials [PDF]

Applied Set-Valued Analysis and Optimization, 2019
In this paper, we first construct the homogeneous $q$-shift operator $\widetilde{E}(a,b;D_{q})$ and the homogeneous $q$-difference operator $\widetilde{L}(a,b; \theta_{xy})$. We then apply these operators in order to represent and investigate generalized
H. Srivastava, S. Arjika, A. Kelil
semanticscholar   +1 more source

Raising and lowering operators and their factorization for generalized orthogonal polynomials of hypergeometric type on homogeneous and non-homogeneous lattice

, 2004
We complete the construction of raising and lowering operators, given in a previous work, for the orthogonal polynomials of hypergeometric type on non-homogeneous lattice, and extend these operators to the generalized orthogonal polynomials, namely ...
Alvarez-Nodarse R, Alvarez-Nodarse R, Atakishiyev N M, Atakishiyev N M, Lorente M, Lorente M, Lorente M, Lorente M, Miguel Lorente, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Nikiforov A F, Rahman Mizan, Smirnov Y F, Smirnov Y F, Smirnov Y F   +24 more
core   +1 more source

The forms of $ (q, h) $-difference equation and the roots structure of their solutions with degenerate quantum Genocchi polynomials

AIMS Mathematics
We construct a new type of Genocchi polynomials using degenerate quantum exponential functions and find various forms of $ (q, h) $-difference equations with these polynomials as solutions. This paper includes properties of the symmetric structures of $ (
Jung Yoog Kang , Cheon Seoung Ryoo
doaj   +1 more source

Zero distribution of polynomials satisfying a differential-difference equation [PDF]

, 2013
In this paper we investigate the asymptotic distribution of the zeros of polynomials $P_{n}(x)$ satisfying a first order differential-difference equation.
Dominici, Diego, Van Assche, Walter
core   +1 more source

Schubert polynomial expansions revisited

Forum of Mathematics, Sigma
We give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly nonnegative, by studying solutions to the equation $\sum Y_i\partial _i=\operatorname {id}$ on ...
Philippe Nadeau, Hunter Spink, Vasu Tewari   +2 more
doaj   +1 more source

On the value distribution and uniqueness of difference polynomials of meromorphic functions

Advances in Differential Equations, 2013
In this paper, we study the zeros of difference polynomials of meromorphic functions of the forms (P(f)∏j=1df(z+cj)sj)(k)−α(z),(P(f)∏j=1d[f(z+cj)−f(z)]sj)(k)−α(z), where P(f) is a nonzero polynomial of degree n, cj∈C∖{0} (j=1,…,d) are distinct ...
H. Xu
semanticscholar   +2 more sources