Entire and Meromorphic function
Vol 8, No 7 (2017)
... W e introduce the idea of relative L-Ritt order of entire Dirichlet series with respect to a meromorphic function and prove sum and product theorems and a theorem on derivative.. Keywor[r] ...
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Zeros and value sharing results for q-shifts difference and differential polynomials
... Zhang, Korhonen[7] proved the analogous results in q-differences as follows: THEOREM B[7]: Let f be a transcendental meromorphic function (resp. entire) with zero order and q be a non-zero complex ...
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Value Distribution and Uniqueness Theorems for Difference of Entire and Meromorphic Functions
... Certain estimates involving the derivative f 7→ f 0 of a meromorphic function play key roles in the construction and applications of classical Nevanlinna theory. Recently, there has been an increasing ...
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Growth of the Entire or Meromorphic Solutions of Differential-Difference Equations
... the Picard exceptional value of f n f 0 may only be zero. This conjecture has been proved by many authors. e.g., Hayman [3] proved that if f is a transcendental meromorphic function and n≥ 3,then f n f 0 ...
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Zeros and fixed points of the linear combination of shifts of a meromorphic function
... dental entire function of order less than one, then the first difference f , and by repetition of this argument each difference n f , for n ≥ , is transcendental entire of order less than one and hence ...
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Vol 3, No 7 (2012)
... composite entire or meromorphic functions and differential monomials, differential polynomials generated by one of the ...of entire and meromorphic functions because those are available in ...
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Growth and Complex Oscillation of Linear Differential Equations with Meromorphic Coefficients of [p,q] − ϕ Order
... of entire functions of [p, q]-order and obtained some results concerning their ...the entire function f of iterated p−order [13, 14], Liu-Tu- Shi gave a minor modification of the original definition ...
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Zeros and value sharing results for q-shifts difference and differential polynomials
... A meromorphic (respectively entire) function always means a non-constant function meromorphic (respectively analytic) in the complex ...a meromorphic function takes a ...
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Unicity of Meromorphic Function Sharing One Small Function with Its Derivative
... a meromorphic or an entire function sharing one small function with its derivative with weighted shared method and obtained the following result, which answered the open questions posed by Yu ...
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Normal families of meromorphic functions sharing one function
... holomorphic function in D, and the multiplicity of its all zeros is at most ...of meromorphic functions in D, the multiplicity of all zeros and poles of f ∈ F is at least max { k + d + , k + ...
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Growth Properties of Wronskians in the Light of Relative Order
... In this paper we establish some newly developed results based on the growth properties of relative order and relative lower order of wronskians generated by entire and meromorphic functions. We do not ...
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Generalization of Uniqueness of Meromorphic Functions Sharing Fixed Point
... transcendental entire functions or both f and g are ...transcendental entire functions, using N r f ( , ) = 0, N r g ( , ) = 0 and similar arguments as in the proof of Theorem 1, we can easily obtain ...
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About the defects of curves holomorphic in the half plane
... About the Valiron’s defects of meromorphic functions and holomorphic curves in the half plane, Ibid.. About the defects and deviation quantities of entire curves, Theory of functions, fu[r] ...
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Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers
... generating functions of Bernoulli numbers and associated Euler numbers shown as m(2 π ,B) and m( π , E), respectively. From these properties, we find Nevanlinna characteristic functions which we stated in the paper. ...
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3. Growth of solutions of linear diferential equations in the unit disk
... are entire functions of finite order if and only if all coefficients are polynomials, and Gundersen, Steinbart and Wang [17] listed all possible orders of solutions of ...
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5. ON MEROMORPHIC FUNCTIONS THAT SHARE A SMALL FUNCTION WITH ITS DERIVATIVES
... In 2005, Zhang [?] improved the above results and proved the following theorem. Theorem F. Let f be a non-constant meromorphic function, k(≥ 1), l(≥ 0) be integers. Also let a ≡ a(z)(6≡ 0, ∞) be a ...
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Some Characterizations of Weighted Bloch Space
... Lappan, Criteria for an analytic function to be Bloch and a harmonic or meromorphic function to be normal, Complex Analysis and its Applications (Eds Y.. Royden, Real analysis[r] ...
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Transcendental Meromorphic Functions Whose First Order Derivatives Have Finitely Many Zeros
... der meromorphic functions and entire functions; Jianming Chang [2] has con- firmed the conjecture for infinite order meromorphic functions for the first time, which is based on theory of normal and ...
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Trajectories escaping to infinity in finite time
... a meromorphic function on a domain Ω ⊆ C such that there exist a real number M > 0, a domain U ⊆ Ω and an analytic function F : U → C with the property that f = e F on U and F maps U univalently ...
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5. The growth of iterated entire functions
... two entire functions f (z) and g(z) and following Lahiri and Banerjee [3] form the relative iterations of f (z) with respect to g(z) (defined below) and using this concept of relative iteration study growth of ...
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