[PDF] Top 20 Meromorphic Functions Sharing Three Values
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Meromorphic Functions Sharing Three Values
... Let f and g be two non-constant meromorphic func- tions in the complex plane. It is assumed that the reader is familiar with the standard notations of Nevanlinna’s theory such as T r f , , m r f , , N r f ... See full document
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Meromorphic functions that share four or three small functions with their difference operators
... non-constant meromorphic functions of finite order and their difference operators are identical, if they share four small functions “IM”, or share two small functions and ∞ ...small ... See full document
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Uniqueness of meromorphic functions with their reduced linear c shift operators sharing two or more values or sets
... Theorem 1.1 Let f be a nonconstant meromorphic function of finite order, let c be a con- stant such that f (z + c) – f (z) ≡ 0, and let a, b be two distinct nonzero finite constants. Suppose L r c f and f (z) share ... See full document
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Normality of meromorphic functions and differential polynomials share values
... In this paper, we discuss the normality of meromorphic functions which involves differential polynomial sharing values. We obtain two results: Let k be a positive integer, b (= 0) be a complex ... See full document
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SINGULAR VALUES AND REAL FIXED POINTS OF ONE-PARAMETER FAMILIES ASSOCIATED WITH FUNDAMENTAL TRIGONOMETRIC FUNCTIONS\\[4pt] $\sin z$, $\cos z$ and $\tan z$
... of functions are very important in the investigations involving nonlinear equations arising from modelling of engineering and scientific ...such functions can be represented naturally through transcendental ... See full document
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Uniqueness of entire functions sharing two values with their difference operators
... of meromorphic functions sharing values with their shifts or difference operators has become a subject of great interest ...value sharing problems for shifts of meromorphic ... See full document
9
Meromorphic functions sharing small functions with their linear difference polynomials
... Recently, a number of papers have focused on the Nevanlinna theory with respect to difference operators; see, e.g., the papers [, ] by Chiang and Feng and [, ] by Halburd and Korhonen. Then, many authors started to ... See full document
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Normal families of meromorphic functions sharing values or functions
... of meromorphic functions concerning shared values and shared analytic functions and prove some normal criteria that generalize or extend some results obtained by ... See full document
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The partially shared values and small functions for meromorphic functions in a k punctured complex plane
... of meromorphic functions occupies one of the central places in complex ...for meromorphic functions in the unit disc; Zheng [11] in 2003 obtained the five-value theorem for meromorphic ... See full document
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Uniqueness of meromorphic solutions sharing values with a meromorphic function to \(w(z + 1)w(z 1) = h(z)w^{m}(z)\)
... given meromorphic function f (z), we use the standard notation of the Nevanlinna theory (see ...a meromorphic function a(z) is a small function of f (z), if T(r, a) = o(T(r, f )) = S(r, f ...small ... See full document
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Uniqueness of meromorphic functions sharing two values
... In this article, we shall study the uniqueness problems on meromorphic functions sharing nonzero finite value or having fixed points. Our results extend the corresponding results of Fang and Hua, ... See full document
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Uniqueness of Meromorphic Functions of Differential Polynomials Sharing Two Values IM
... a ∈ C ∞ , we say that f z ( ) and g z ( ) share a CM (counting multiplicities) if f z ( ) − a , g z ( ) − a have the same zeros with the same multiplicities and we say that f z ( ) and g z ( ) share a (ignoring multip- ... See full document
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MEROMORPHIC FUNCTIONS WITH RUSCHEWEYH DERIVATIVES
... [3] Alexander J.W., “Functions which map the interior of the unit circle upon simple regions”, Ann.[r] ... See full document
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Uniqueness of difference operators of meromorphic functions
... Let f(z) and g(z) be two meromorphic functions, and let a(z) be a small function with respect to f(z) and g(z). We say that f(z) and g(z) share a(z) IM, provided that f(z) - a(z) and g(z) - a(z) have the ... See full document
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Subclasses of Meromorphic Functions Associated with Convolution
... of meromorphic functions in the unit disk are introduced by means of convolution with a given fixed meromorphic ...of meromorphic starlikeness, convexity, close- to-convexity, and ... See full document
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On Certain Subclasses of Meromorphically p-Valent Functions Associated with Integral Operators
... Shukla, Certain integrals for classes of p-valent meromorphic functions, Bull.. Lashin, On certain subclasses of meromorphic functions associated with certain inte- gral operators, Compu[r] ... See full document
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Uniqueness of Meromorphic Functions Whose Differential Polynomials Share One Value
... The meromorphic function mentioned in this paper refers to the meromorphic function over the entire complex plane. Let f and g be two non-constant mero- morphic functions. E ⊂ ( 0, ∞ ) means Linear ... See full document
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Uniqueness of Meromorphic Functions with Their Nonlinear Differential Polynomials Share a Small Function
... Abstract In this paper we deal with the uniqueness of meromorphic functions when two nonlinear differential polynomials generated by two meromorphic functions share a small function.. Ke[r] ... See full document
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Uniqueness of Meromorphic Functions and Differential Polynomials
... Theorem C see 6. Let fz and gz be two nonconstant entire functions, and let n, m, k be three positive integers such that n > 5k 4m 9. If f n zfz − 1 m k and g n zgz − 1 m k share 1 IM, then either fz ≡ ... See full document
13
Meromorphic functions with positive coefficients
... for some α ( 0 ≤ α < 1 ) . We say that f (z) is in the class C (α) of such functions. The class ∗ (α) and various other subclasses of have been studied rather exten- sively by Nehari and Netanyahu [9], Clunie ... See full document
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