Results 21 to 30 of about 39,333 (245)
Simple sufficient conditions for starlikeness and convexity for meromorphic functions
Open Mathematics, 2016 In this paper we investigate some extensions of sufficient conditions for meromorphic multivalent functions in the open unit disk to be meromorphic multivalent starlike and convex of order α.
Goswami Pranay +2 more
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Connection coefficients for basic Harish-Chandra series [PDF]
, 2014 Basic Harish-Chandra series are asymptotically free meromorphic solutions of the system of basic hypergeometric difference equations associated to root systems.
Askey +62 more
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Journal of Mathematics, 2022 In this paper, we introduce a new derivative operator involving q-Al-Oboudi differential operator for meromorphic functions. By using this new operator, we define a new subclass of meromorphic functions and obtain the Fekete–Szegő inequalities.
M.K. Aouf, Fatma Z. El-Emam
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On the Fourier coefficients of negative index meromorphic Jacobi forms [PDF]
, 2015 In this paper, we consider the Fourier coefficients of meromorphic Jacobi forms of negative index. This extends recent work of Creutzig and the first two authors for the special case of Kac-Wakimoto characters which occur naturally in Lie theory, and ...
Bringmann, Kathrin +2 more
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Nonvanishing Meromorphic Univalent Functions [PDF]
Proceedings of the American Mathematical Society, 1988 This note studies the best constants s s such that the function k ( z ) = z + 2 + 1 / z k(z) = z + 2 + 1/z solves the linear coefficient problems max Re { s
Abu-Muhanna, Yusuf, Schober, Glenn
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Meromorphic solutions of higher order Briot-Bouquet differential equations [PDF]
, 2008 For differential equations $P(y^{(k)},y)=0,$ where $P$ is a polynomial, we prove that all meromorphic solutions having at least one pole are elliptic functions, possibly ...
Akhiezer +13 more
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Further Results on Uniqueness of Meromorphic Functions concerning Fixed Points
Abstract and Applied Analysis, 2014 We will study the uniqueness problems of meromorphic functions of differential polynomials sharing fixed points. Our results improve or generalize some previous results on meromorphic functions sharing fixed points.
Xiao-Bin Zhang
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Meromorphic functions with missing coefficients defined by $q$-derivative [PDF]
Journal of Mahani Mathematical Research, 2023 By considering a fixed point in the punctured unit disk and using the $q$--derivative, a new subfamily of meromorphic and univalent functions is defined.
Shahram Najafzadeh +3 more
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Meromorphic Functions Sharing a Small Function [PDF]
Abstract and Applied Analysis, 2007 We will study meromorphic functions that share a small function, and prove the following result: letf(z)andg(z)be two transcendental meromorphic functions in the complex plane and letn≥11be a positive integer. Assume thata(z)(≢0)is a common small function with respect tof(z)andg(z). Iffnf′andgng′sharea(z)CM, then eitherfn(z)f′(z)gn(z)g′(z)≡a2(z), orf(z)
Wang, Songmin, Gao, Zongsheng
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Comparative growth analysis of wronskians in the light of their relative orders
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015 In this paper we study the comparative growth properties of a composition of entire and meromorphic functions on the basis of the relative order (relative lower order) of Wronskians generated by entire and meromorphic functions.
Sanjib Kumar Datta +2 more
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