Results 41 to 50 of about 4,247 (224)
Super-optimal approximation by meromorphic functions. [PDF]
, 1996 Let G be a matrix function of type m × n and suppose that G is expressible as the sum of an H∞ function and a continuous function on the unit circle. Suppose also that the (k – 1)th singular value of the Hankel operator with symbol G is greater than the ...
Young, N. J., Peller, V. V.
core
Study about inclusion relationships and integral preserving properties [PDF]
Surveys in Mathematics and its Applications, 2012 The object of the present paper is to investigate a family of integral operators defined on the space of meromorphic functions. By making use of these novel integral operators, we introduce and investigate several new subclasses of starlike, convex ...
Imran Faisal, Maslina Darus
doaj
Meromorphic functions with positive coefficients [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 Let ∑∗(α, β, k) be a class of meromorphic functions f(z) with positive coefficients in D = {0 < |z| < 1}. The aim of the present note is to prove some properties for the class ∑∗(α, β, k).
openaire +2 more sources
An Algebraic Study of Parametric Stokes Phenomena
Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
wiley +1 more source
A Note on Unique Range Sets of Meromorphic Functions with Deficient Values [PDF]
, 2016 [[abstract]]With the help of the notion of weighted sharing of sets we deal with the problem of Unique Range Sets for meromorphic functions and obtain a result which improve some previous ...
Sujoy Majumder, Abhijit Banerjee
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Convex and starlike meromorphic functions [PDF]
, 1980 In this paper we study meromorphic univalent functions with a simple pole at p which map the unit disk onto the exterior of convex sets or the exterior of starlike sets. A question raised by Libera and Livingston concerning the equality of two classes of
James Miller
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Uniqueness of $q$-shift difference polynomials of meromorphic functions sharing a small function [PDF]
, 2020 summary:We investigate the uniqueness of a $q$-shift difference polynomial of meromorphic functions sharing a small function which extend the results of N. V.
Desai, Rajalaxmi V. +1 more
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Hadamard Product on Subclasses of Meromorphic Functions Involving q-Difference Operator
Journal of Function SpacesBy making use of a q-derivative operator, certain families of meromorphic q-starlike functions and meromorphic q-convex functions are introduced and studied. In this paper, we define a q-analogous value of differential operators for meromorphic functions
W. Y. Kota +2 more
doaj +1 more source
Axioms, 2022 By making use of a higher-order q-derivative operator, certain families of meromorphic q-starlike functions and meromorphic q-convex functions are introduced and studied.
Likai Liu, Rekha Srivastava, Jin-Lin Liu
doaj +1 more source
Roots of polynomial sequences in root‐sparse regions
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Given a family (qk)k$(q_k)_k$ of polynomials, we call an open set U$U$root‐sparse if the number of zeros of qk$q_k$ is locally uniformly bounded on U$U$. We study the interplay between the individual zeros of the polynomials qk$q_k$ and those of the m$m$th derivatives qk(m)$q_k^{(m)}$ in a root‐sparse open set U$U$, as k→∞$k\rightarrow \infty$.
Christian Henriksen +2 more
wiley +1 more source