Results 51 to 60 of about 15,112,532 (216)
On Meromorphic Harmonic Functions Associated with the Polylogarithm Function
This paper examines the relationship between the classical polylogarithm function and meromorphic harmonic univalent mappings. Using a convolution operator derived from the polylogarithm function, we define a class of harmonic meromorphic functions and ...
Huda Ali Aldweby
doaj +1 more source
Some New Results on Fixed Points of Meromorphic Functions Defined in Annuli
The purpose of this paper is to investigate the fixed points of meromorphic functions in annuli. Some well-known facts of fixed points for meromorphic functions in the plane will be considered in annuli.
Zhaojun Wu, Zuxing Xuan, Yuxian Chen
doaj +1 more source
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
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An effective Bombieri–Vinogradov error term for sifting problems
Abstract In number theory, many major results related to the additive properties of primes are proven using the methods of sieve theory. However, in nearly every case, the existing proofs of these results are ineffective, in that explicit values for which they hold cannot be computed.
Daniel R. Johnston
wiley +1 more source
On the Uniqueness of Meromorphic Functions on Annuli in terms of Deficiencies
The purpose of this article is to study the uniqueness of meromorphic functions on annuli. Under a certain condition about deficiencies, we prove some new uniqueness theorems of meromorphic functions on the annulus A=z:1 ...
Dawei Meng, Nan Lu, Sanyang Liu
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Fuzzy Differential Subordination for Meromorphic Function Associated with the Hadamard Product
This paper is related to fuzzy differential subordinations for meromorphic functions. Fuzzy differential subordination results are obtained using a new operator which is the combination Hadamard product and integral operator for meromorphic function.
Sheza M. El-Deeb, Alina Alb Lupaş
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Murmurations via Petersson trace formula
Abstract We prove the murmuration phenomenon, which is a correlation between signs of functional equations and Fourier coefficients, in the case of modular forms in the weight aspect. We in particular improve the range of visibility of murmurations compared to previous results.
Chan Ieong Kuan, Didier Lesesvre
wiley +1 more source
Uniqueness of a meromorphic functions that share one small function and its derivative. [PDF]
In this paper we consider the problem of uniqueness of meromorphic functions that share one small function and its derivatives, and obtain two theorems which improve the result of Qingcai Zhang [11]
Husna, V., Harina, P. Waghamore.
core
Value Distribution of Meromorphic Functions
"Value Distribution of Meromorphic Functions" focuses on functions meromorphic in an angle or on the complex plane, T directions, deficient values, singular values, potential theory in value distribution and the proof of the celebrated ...
Zheng, Jianhua, Jianhua Zheng
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ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source

