Results 31 to 40 of about 159,131 (200)
Region of variablity for Bazilevic functions
Let $ \mathcal{H} $ be the family of analytic functions defined in an open unit disk $ \mathbb{U = }\left \{ z:|z| < 1\right \} $ and $ \mathcal{A} = \left \{ f\in \mathcal{H}:f(0) = f^{^{\prime}}(0)-1 = 0, { \ \ \ \ \ }(z\in \mathbb{U})
Syed Zakar Hussain Bukhari +3 more
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Differential inequalities for spirallike and strongly starlike functions
In this paper, by using a technique of the first-order differential subordination, we find several sufficient conditions for an analytic function p such that p ( 0 ) = 1 $p(0)=1$ to satisfy Re { e i β p ( z ) } > γ $\operatorname{Re}\{ {\mathrm{e ...
Nak Eun Cho, Oh Sang Kwon, Young Jae Sim
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In this paper, we introduce and study a new subclass of normalized analytic functions, denoted by $ \mathcal F_{\left(\beta,\gamma\right)} \bigg(\alpha,\delta,\mu,H\big(z,C_{n}^{\left(\lambda \right)} \left(t\right)\big)\bigg), $ satisfying ...
H. M. Srivastava +2 more
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A Note on Sequence of Functions associated with the Generalized Jacobi polynomial
An attempt is made to introduce and use operational techniques to study about a new sequence of functions containing generalized Jacobi polynomial. Some generating relations, finite summation formulae, explicit representation of a sequence of function ...
D. Waghela, S.B. Rao
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In this paper, we consider a Schrödinger operator $ L = -\Delta_{\mathbb{H}}+V $ on the stratified Lie group $ \mathbb{H} $. First, we establish fractional heat kernel estimates related to $ L^{\beta} $, $ \beta\in(0, 1) $.
Zhiyong Wang +3 more
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Some properties of Gamma and Beta matrix functions
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Juan Carlos Cortés, Lucas Jódar
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Partition function of beta-gamma system on orbifolds [PDF]
Partition function of beta-gamma systems on the orbifolds C^2/Z_N and C^3/Z_M x Z_N are obtained as the invariant part of that on the respective affine spaces, by lifting the geometric action of the orbifold group to the fields. Interpreting the sum over roots of unity as an elementary contour integration, the partition function evaluates to an ...
Chandrasekhar Bhamidipati, Koushik Ray
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The stability of Cauchy's gamma–beta functional equation
The authors prove the superstability of the functional equation \[ B(x,y)f(x,y)=f(x)f(y), \] where \(B(x,y)\) is the beta function of Euler and also prove the stability of this equation in the sense of R. Ger.
Byung Mun Choi, Young Whan Lee
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Functional roles of DNA polymerases beta and gamma. [PDF]
The physiological functions of DNA polymerases (deoxynucleosidetriphosphate:DNA deoxynucleotidyltransferase, EC 2.7.7.7) beta and gamma were investigated by using neuronal nuclei and synaptosomes isolated from rat brain. UV irradiation of neuronal nuclei from 60-day-old rats resulted in a 7- to 10-fold stimulation of DNA repair synthesis attributable ...
Clive C. Kuenzle +2 more
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New extension of beta, Gauss and confluent hypergeometric functions
There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar +1 more
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