Results 81 to 90 of about 15,112,532 (216)
An Algebraic Study of Parametric Stokes Phenomena
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
Small functions and uniqueness of meromorphic functions
We discuss the uniqueness of meromorphic functions sharing three weighted values and provide a complete answer to a question of T.C ...
Lahiri, Indrajit, Mandal, Nintu
core +1 more source
A note on an extension of Lindelöf's theorem to meromorphic functions
S. M. Shah [3] has given an extension of Lindelöf's Theorem to meromorphic functions. He also obtained an expression for the characteristic function of a meromorphic function of integer order.
Mohammad Salmassi
doaj +1 more source
Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function
In the present paper, we give sufficient conditions for a function f to be in the subclasses $$ \sum S_{a,s}^*(A,\,B,\,\alpha ,\,\beta ) $$ and $$ \sum {\kappa _{a,\,s}}(A,\,B,\,\alpha ,\,\beta ) $$ of the class Σ of meromorphic functions which are ...
H. Srivastava, S. Gaboury, F. Ghanim
semanticscholar +1 more source
Roots of polynomial sequences in root‐sparse regions
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
On exotic matrix exponential sums and Bessel–Speh functions
Abstract In a previous work with Carmon, we defined Bessel–Speh functions. These are matrix coefficients of irreducible Speh representations of GLkc(F)$\mathrm{GL}_{kc}(\mathbb {F})$, where F$\mathbb {F}$ is a finite field. They arise from (k,c)$(k,c)$ models, which are models that generalize the Whittaker model to Speh representations attached to ...
Elad Zelingher
wiley +1 more source
Meromorphic functions and smooth analytic functions
Meromorphic functions with many zeroes can have logarithmic derivatives that are relatively smooth. We prove this, with a new construction of smooth analytic functions with many zeroes.
Robert Kaufman
core +1 more source
We study the equilibrium system with angular velocity for the prey. This system is a generalization of the two-species equilibrium model with Neumann type boundary condition.
Bo Meng
doaj +1 more source
Isotopies of complete minimal surfaces of finite total curvature
Abstract Let M$M$ be a Riemann surface biholomorphic to an affine algebraic curve. We show that the inclusion of the space ℜNC∗(M,Cn)$\Re \mathrm{NC}_*(M,\mathbb {C}^n)$ of real parts of nonflat proper algebraic null immersions M→Cn$M\rightarrow \mathbb {C}^n$, n⩾3$n\geqslant 3$, into the space CMI∗(M,Rn)$\mathrm{CMI}_*(M,\mathbb {R}^n)$ of complete ...
Antonio Alarcón +2 more
wiley +1 more source
A univalence criterion for meromorphic functions [PDF]
A sufficient univalence condition for meromorphic functions is ...
Miazga, J., Wesołowski, A.
core

