Results 11 to 20 of about 1,415 (218)
New classes of analytic and bi-univalent functions
AIMS Mathematics, 2021 Using the (p, q)-derivative operator we introduce new subclasses of analytic and bi-univalent functions, we obtain estimates on coefficients and the Fekete-Szegö functional.
Luminiţa-Ioana Cotîrlǎ
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On a new subclass of bi-univalent functions
Journal of the Egyptian Mathematical Society, 2013 The purpose of the present paper is to introduce a new subclass of the function class ∑ of bi-univalent functions defined in the open unit disc. Furthermore, we obtain estimates on the coefficients ∣a2∣ and ∣a3∣ for functions of this class.
Saurabh Porwal, M. Darus
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Coefficient Estimates for Certain Classes of Bi-Univalent Functions
International Journal of Mathematics and Mathematical Sciences, 2013 A function analytic in the open unit disk is said to be bi-univalent in if both the function and its inverse map are univalent there. The bi-univalency condition imposed on the functions analytic in makes the behavior of their coefficients ...
Jay M. Jahangiri, Samaneh G. Hamidi
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On a coefficient problem for bi-univalent functions [PDF]
Proceedings of the American Mathematical Society, 1967 The function f(z) will be called bi-univalent if both f(z) and f-'(z) are univalent in I zI < 1; f(z) will be said to belong to oiff (i) f(z) CS and (ii) there exists a function g(z) ES such that f(g(z)) =g(f(z)) = z in some neighborhood of the origin. Z. Nehari remarked1 that if 4(Z) =4lz+02z2+ ...
Mordechai Lewin
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Subclasses of bi-univalent functions defined by convolution
Journal of the Egyptian Mathematical Society, 2014 In this paper, we introduced two new subclasses of the function class Σ of bi-univalent functions analytic in the open unit disc defined by convolution.
R.M. El-Ashwah
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On some subclasses of bi-univalent functions associated with pseudo-starlike functions
Journal of the Egyptian Mathematical Society, 2016 In this paper, we have established the Taylor–Maclaurin coefficients |a2| and |a3| of the two new subclasses of bi-univalent functions using pseudo-starlike functions in the open unit disk U={z:|z|
Santosh Joshi +2 more
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Certain subclasses of analytic and bi-univalent functions
Applied Mathematics Letters, 2010 AbstractIn the present paper, we introduce and investigate two interesting subclasses of normalized analytic and univalent functions in the open unit disk U≔{z:z∈Cand|z|
H. M. Srivastava +2 more
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Subclasses of Bi-Univalent Functions Associated with Hohlov Operator [PDF]
World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 2017 {"references": ["Y. E. Hohlov, \"Convolution operators that preserve univalent functions\" Ukrain. Mat. Zh. vol. 37, pp 220-226, 1985.", "P. L. Duren, \"Univalent Function\", Springer, New York, vol 259, 1983.", "M. Lewin, \"On a coefficient problem for bi-univalent functions\" Proc. Amer. Math. Soc. vol. 18, pp. 63-68, 1967.", "A. W.
Rashidah Omar +2 more
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On Coefficient problem for bi-univalent analytic functions
, 2017 Estimates for initial coefficients of Taylor-Maclaurin series of bi-univalent functions belonging to certain classes defined by subordination are obtained. Our estimates improve upon the earlier known estimates for second and third coefficient. The bound for the fourth coefficient is new.
Nisha Bohra, V. Ravichandran
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Coefficient Estimates for New Subclasses of Meromorphic Bi-Univalent Functions. [PDF]
Int Sch Res Notices, 2014 We introduce and investigate two new subclasses Mσα,λ and Mσβ,λ of meromorphic bi-univalent functions defined on Δ={z:z∈C,1<|z|<∞}. For functions belonging to these classes, estimates on the initial coefficients are obtained.
Bulut S.
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