Results 31 to 40 of about 13,231,449 (366)
Gram Points in the Universality of the Dirichlet Series with Periodic Coefficients
Mathematics, 2023 Let a={am:m∈N} be a periodic multiplicative sequence of complex numbers and L(s;a), s=σ+it a Dirichlet series with coefficients am. In the paper, we obtain a theorem on the approximation of non-vanishing analytic functions defined in the strip 1 ...
Darius Šiaučiūnas, Monika Tekorė
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, 1950 The objective of this paper is to give an alternative derivation of results on bounded analytic functions recently obtained by Ahlfors [1] and Garabedian [2].1 While it is admitted that the main idea to be used is more in the nature of a lucky guess than
Z. Nehari
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Subordination Implications and Coefficient Estimates for Subclasses of Starlike Functions
Mathematics, 2020 In the present paper, we consider various subclasses of star-like functions, which are defined by subordination and then we obtain several subordination implications related to these subclasses.
Nak Eun Cho +3 more
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A first-order differential double subordination with applications [PDF]
, 2011 Let $q_1$ and $q_2$ belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions $p$ to satisfy the double subordination chain $q_1(z)
Ali +20 more
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On the growth of analytic functions [PDF]
Transactions of the American Mathematical Society, 1938 1. P6lya,4 in a restricted case, and Bernstein,? under rather general conditions, have, to state their results roughly, proved that the rate of growth of an analytic function along a line can be determined by its growth along a suitable sequence of discrete points on the line.
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A New Class of Analytic Functions Associated with Sălăgean Operator
Journal of Function Spaces, 2019 The main object of the present paper is to investigate a number of useful properties such as inclusion relation, distortion bounds, coefficient estimates, and subordination results for a new subclass of analytic functions which are defined here by means ...
Muhammad Arif +3 more
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On Local Behavior of Analytic Functions [PDF]
, 1999 We prove local inequalities for analytic functions defined on a convex body in $\Re^{n}$ which generalize well-known classical inequalities for ...
Brudnyi, Alexander
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On Polyharmonic Interpolation [PDF]
, 2007 In the present paper we will introduce a new approach to multivariate interpolation by employing polyharmonic functions as interpolants, i.e. by solutions of higher order elliptic equations.
Haussmann, Werner, Kounchev, Ognyan
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, 2019 In this paper we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes our aim is to find the Hankel determinant of order three.
Muhammad Arif +4 more
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Bohr-type inequalities for bounded analytic functions of Schwarz functions
AIMS Mathematics, 2021 In this paper, some new versions of Bohr-type inequalities for bounded analytic functions of Schwarz functions are established. Most of these inequalities are sharp. Some previous inequalities are generalized.
Xiaojun Hu, Qihan Wang, Boyong Long
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