Results 41 to 50 of about 10,211,419 (281)
On a class of meromorphic functions [PDF]
Proceedings of the American Mathematical Society, 1966 where 3 is meromorphic. In this case one may even obtain entire solutions, e.g. f = sin z, g = cos z, ,B = tan (z/2). Gross also shows that for n> 2 there are no entire solutions of (1), while for n> 3 there are no meromorphic solutions. Now the equation w3+z3 =1 defines an algebraic function whose Riemann surface has genus 1, and there is accordingly ...
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Partial Sums of Certain Classes of Meromorphic Functions Related to the Hurwitz-Lerch Zeta Function
, 2015 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
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Starlike Meromorphic Functions [PDF]
Proceedings of the American Mathematical Society, 1972 In this paper we study meromorphic univalent functions which map the unit disk onto the exterior of a domain which is starlike with respect to some finite point different from the origin. We obtain bounds on the arc length, an integral representation, and bounds on the maximum modulus of starlike meromorphic functions.
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Exceptional values of p-adic analytic functions and derivatives [PDF]
, 2011 International audienceLet $K$ be an algebraically closed field of characteristic $0$, complete with respect to an ultrametric absolute value $|\ . \ |$. Given a meromorphic function $f$ in $K$ (resp.
Escassut, Alain, Ojeda, Jacqueline
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A note on an extension of Lindelöf's theorem to meromorphic functions
International Journal of Mathematics and Mathematical Sciences, 1983 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
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VALUE SHARING RESULTS OF A MEROMORPHIC FUNCTION f(z) AND f(qz)
, 2011 In this paper, we investigate sharing value problems related to a meromorphic function f ( z) and f ( qz), where q is a non-zero constant. It is shown, for instance, that if f ( z) is zero-order and shares two valves CM and one value IM with f ( qz ...
X. Qi, Kai Liu, Lian-Zhong Yang
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Discrete Dynamics in Nature and Society, 2020 In this paper, we study the higher order differential equation fk+Bf=H, where B is a rational function, having a pole at ∞ of order n>0, and H≡0 is a meromorphic function with finite order, and obtain some properties related to the order and zeros of its
Chuang-Xin Chen +2 more
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Orbit Growth of Shift Spaces Induced by Bouquet Graphs and Dyck Shifts
Mathematics, 2021 For a discrete dynamical system, the prime orbit and Mertens’ orbit counting functions describe the growth of its closed orbits in a certain way. The asymptotic behaviours of these counting functions can be determined via Artin–Mazur zeta function of the
Azmeer Nordin, Mohd Salmi Md Noorani
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On New p-Valent Meromorphic Function Involving Certain Differential and Integral Operators
Abstract and Applied Analysis, 2014 We define new subclasses of meromorphic p-valent functions by using certain differential operator. Combining the differential operator and certain integral operator, we introduce a general p-valent meromorphic function.
Aabed Mohammed, Maslina Darus
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Unicity of Meromorphic Function and its Derivative
, 2010 . In this paper, we deal with the uniqueness problems of meromorphic functionsthat share a small function with its derivative and improve some results of Yang, Yu, Lahiri,and Zhang, also answer some questions of T. D. Zhang and W. R. Lu.¨ 1. Introduction
Ang Chen, Guowei Zhang
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