Results 31 to 40 of about 4,654,954 (329)
Asymptotic behavior of averaging of entire functions of improved regular growth
Karpatsʹkì Matematičnì Publìkacìï, 2013 Using the Fourier series method for entire functions, we investigate the asymptotic behavior of averaging of entire functions of improved regular growth.
R.V. Khats’
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Transactions of the American Mathematical Society, 1971 Factorizations of various functions are discussed. Complete factorizations of certain classes of functions are given. In particular it is shown that there exist primes of arbitrary growth.
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The existence and forms of solutions for some Fermat-type differential-difference equations
AIMS Mathematics, 2020 The main aim of this article is to investigate the existence and the forms of solutions for several complex differential-difference equations of Fermat-type.
Hua Wang, Hong Yan Xu, Jin Tu
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Uniqueness of entire functions
Journal of Mathematical Analysis and Applications, 2003 AbstractLet f be a nonconstant entire function and let a be a meromorphic function satisfying T(r,a)=S(r,f) and a≢a′. If f(z)=a(z)⇔f′(z)=a(z) and f(z)=a(z)⇒f″(z)=a(z), then f≡f′, and a≢a′ is necessary. This extended a result due to Jank, Mues and Volkmann.
Mingliang Fang, Jianming Chang
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Multiplicative structures of hypercyclic functions for convolution operators
, 2017 In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the convolution operator associated to a given entire ...
Bernal-González, Luis +3 more
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Primeable entire functions [PDF]
Nagoya Mathematical Journal, 1973 An entire function F(z) = f(g(z)) is said to have f(z) and g(z) as left and right factors respe2tively, provided that f(z) is meromorphic and g(z) is entire (g may be meromorphic when f is rational). F(z) is said to be prime (pseudo-prime) if every factorization of the above form implies that one of the functions f and g is bilinear (a rational ...
Gross, Fred +2 more
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Singular values of two-parameter families λ((bz − 1)/z)μ and λ(z/(bz − 1))η
Journal of Taibah University for Science, 2017 The singular values of two kinds of two-parameter families of functions (i) fλ,μ(z)=λ((bz−1)/z)μ and fλ,μ(0) = λ(ln b)μ, μ > 0, (ii) gλ,η(z)=λ(z/(bz−1))η and gλ,η(0) = λ/(ln b)η, η > 0; λ∈ℝ∖{0}, z∈ℂ, b > 0, b ≠ 1 are described.
Mohammad Sajid
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An Entire Holomorphic Function Associated to an Entire Harmonic Function
Journal of Approximation Theory, 1999 AbstractLet h be a harmonic function on RN. Then there exists a holomorphic function f on C such that f(t)=h(t, 0, …, 0) for all real t. Precise inequalities relating the growth rate of f to that of h are proved. These results are applied to deduce uniqueness theorems for harmonic functions of sufficiently slow growth that vanish at certain lattice ...
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The electron thermal propagator at p>>T: An entire function of p_{0}
, 2003 The retarded electron propagator S_{R}(p_{0},p) at high momentum p>>T was shown by Blaizot and Iancu to be an entire function of complex p_{0}. In this paper a specific form for S_{R}(p_{0},p) is obtained and checked by showing that its temporal Fourier ...
A. Kernemann +32 more
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Zeros of Ramanujan Type Entire Functions
, 2016 In this work we establish some polynomials and entire functions have only real zeros. These polynomials generalize q-Laguerre polynomials $L_{n}^{(\alpha)}(x;q)$, while the entire functions are generalizations of Ramanujan's entire function $A_{q}(z)$, q-
Zhang, Ruiming
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