We derive representations for certain entire q-functions and apply our technique to the Ramanujan entire function (or q-Airy function) and q-Bessel functions. This is used to show that the asymptotic series of the large zeros of the Ramanujan entire function and similar functions are also convergent series. The idea is to show that the zeros of the functions under consideration satisfy a nonlinear integral equation. © 2006 Elsevier Inc. All rights reserved
The object of this thesis is to extend to broader classes of functions the theorems in G. Polya's ve...
We consider transcendental entire solutions of linear \(q\)-difference equations with polynomial coe...
AbstractWe establish q-analogues of Taylor series expansions in special polynomial bases for functio...
We derive representations for certain entire q-functions and apply our technique to the Ramanujan en...
We derive representations for certain entire q-functions and apply our technique to the Ramanujan en...
AbstractWe derive representations for certain entire q-functions and apply our technique to the Rama...
We derive representations for some entire q-functions and use it to derive asymptotics and closed fo...
AbstractWe derive representations for certain entire q-functions and apply our technique to the Rama...
AbstractIn this work we investigate Plancherel–Rotach type asymptotics for some q-series as q→1 in a...
In this paper we review the study of the distribution of the zeros of certain approximations for the...
One of the most important problems in the theory of entire functions is the distribution of the zero...
This work, investigates the asymptotics for Euler’s q-exponential Eq(z), Ramanujan’s func-tion Aq(z)...
AbstractWe present a new method to study the zeros of an entire function f(x)=∑n⩾0Anxn by associatin...
AbstractThe present paper has the object of showing that entire functions defined by Dirichlet serie...
We evaluate q-Bessel functions at an infinite sequence of points and introduce a generalization of t...
The object of this thesis is to extend to broader classes of functions the theorems in G. Polya's ve...
We consider transcendental entire solutions of linear \(q\)-difference equations with polynomial coe...
AbstractWe establish q-analogues of Taylor series expansions in special polynomial bases for functio...
We derive representations for certain entire q-functions and apply our technique to the Ramanujan en...
We derive representations for certain entire q-functions and apply our technique to the Ramanujan en...
AbstractWe derive representations for certain entire q-functions and apply our technique to the Rama...
We derive representations for some entire q-functions and use it to derive asymptotics and closed fo...
AbstractWe derive representations for certain entire q-functions and apply our technique to the Rama...
AbstractIn this work we investigate Plancherel–Rotach type asymptotics for some q-series as q→1 in a...
In this paper we review the study of the distribution of the zeros of certain approximations for the...
One of the most important problems in the theory of entire functions is the distribution of the zero...
This work, investigates the asymptotics for Euler’s q-exponential Eq(z), Ramanujan’s func-tion Aq(z)...
AbstractWe present a new method to study the zeros of an entire function f(x)=∑n⩾0Anxn by associatin...
AbstractThe present paper has the object of showing that entire functions defined by Dirichlet serie...
We evaluate q-Bessel functions at an infinite sequence of points and introduce a generalization of t...
The object of this thesis is to extend to broader classes of functions the theorems in G. Polya's ve...
We consider transcendental entire solutions of linear \(q\)-difference equations with polynomial coe...
AbstractWe establish q-analogues of Taylor series expansions in special polynomial bases for functio...
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