Results 51 to 60 of about 4,347 (105)
Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers
Journal of Mathematics, Volume 2024, Issue 1, 2024.This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy +5 more
wiley +1 more source
Integral operator and starlike functions
Computers & Mathematics with Applications, 2002 AbstractWe define a class of univalent starlike functions and consider the following integral operator: It is well known that, if ƒ is starlike, then F is also starlike. We extend this result for a more general class.
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A variational method for starlike functions [PDF]
Proceedings of the American Mathematical Society, 1958 1. One of the most important developments in the study of schlicht functions was the discovery of variational methods. The early work of Marty and the investigations of Schiffer along with those of Schaeffer and Spencer led to the development of powerful machinery for the attack of extremal problems in the class of schlicht functions.
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Boundary Behavior of Starlike Functions [PDF]
Proceedings of the American Mathematical Society, 1972 For a starlike function f, we impose a geometric condition on the image of the open unit disc by the mapping w = z f ′ ( z ) / f ( z ) w = zf’(z)/f(z) to insure that f be one-to-one on the closed unit disc ...
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q-STARLIKE FUNCTIONS OF ORDER ALPHA
TWMS Journal of Applied and Engineering Mathematics, 2018 For all q ∈ (0; 1) and 0 ≤ ∝ < 1 we define a class of analytic functions, so-called q -starlike functions of order ∝ on the open unit disc 𝔻 = { 𝓏 : | 𝓏| < 1 }. We will study this class of functions and explore some inclusion properties with the well-known class Starlike functions of order ∝.
Polatoğlu, Yaşar +2 more
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A certain class of starlike functions
Computers & Mathematics with Applications, 2011 AbstractThis paper presents a new class of functions analytic in the open unit disc, and closely related to the class of starlike functions. Besides being an introduction to this field, it provides an interesting connections defined class with well known classes. The paper deals with several ideas and techniques used in geometric function theory.
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On products of starlike functions [PDF]
Proceedings of the American Mathematical Society, 1962 M. S. Robertson +2 more
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On starlike harmonic functions
, 2019 Uniformly starlike univalent functions introduced by Goodman and we develop this idea over harmonic functions. We introduce a subclass of harmonic univalent functions which are fully starlike and uniformly starlike also. In the following we will mention some examples of this subclass and obtain two necessary and sufficient conditions, one with the ...
Nosrati, Shahpour, Zireh, Ahmad
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Starlike Hypergeometric Functions [PDF]
Proceedings of the American Mathematical Society, 1961 W. T. Scott, E. P. Merkes
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On the Marx Conjecture for Starlike Functions [PDF]
Transactions of the American Mathematical Society, 1965 Let S* denote the class of functions f(z) = z + a2z2 + *_. which map the unit disk I z I < 1 conformally onto a domain starlike with respect to the origin. An important example is the Koebe function k(z) = z(1 _ Z)2, which maps the disk onto the entire plane slit along the negative real axis from -1/4 to oo. In 1932, A. Marx [3] observed that for every
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