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It is known that if $f$ is holomorphic in the open unit disc $𝔻$ of the complex plane and if, for some $c > 0$ , $| f (z) | \leq {1 / (1 - | z |}^{2})^{c}$ , $z \in 𝔻$ , then $| f^{'} {(z) | \leq 2 (c + 1) / (1 - | z |}^{2})^{c + 1}$ . We consider a meromorphic analogue of this result. Furthermore, we introduce and study the class of meromorphic Bloch-type functions that possess a nonzero simple pole in $𝔻$ . In particular, we obtain bounds for the modulus of the Taylor coefficients of functions in this class.

Certain class of harmonic starlike functions with some missing coefficients.

Kharinar, S.M., More, Meena (2008)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Certain class of $p$ -valent functions defined by Dziok-Srivastava linear operator.

Najafzadeh, Shahram, Kulkarni, S.R., Murugusundaramoorthy, G. (2006)

General Mathematics

Certain classes of analytic functions of complex order.

Selvaraj, C., Santhosh Moni, C. (2009)

Acta Universitatis Apulensis. Mathematics - Informatics

Certain coefficient inequalities for Sakaguchi type functions and applications to fractional derivative operator.

Goyal, S.P., Goswami, Pranay (2009)

Acta Universitatis Apulensis. Mathematics - Informatics

Certain convex harmonic functions.

Kim, Yong Chan, Jahangiri, Jay M., Choi, Jae Ho (2002)

International Journal of Mathematics and Mathematical Sciences

Certain meromorphic harmonic functions.

Ahuja, Om P., Jahangiri, Jay M. (2002)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Certain subclass of alpha-convex bi-univalent functions defined using $q$ -derivative operator

Gagandeep Singh, Gurcharanjit Singh (2025)

Archivum Mathematicum

The present investigation deals with a new subclass of alpha-convex bi-univalent functions in the unit disc $E = \}z : ∣ z ∣ < 1\{$ defined with $q$ -derivative operator. Bounds for the first two coefficients and Fekete-Szegö inequality are established for this class. Many known results follow as consequences of the results derived here.

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Asymptotic estimates and properties of univalent functions with quasiconformal continuation.

Asymptotic estimates for the coefficients of bounded univalent functions.

Asymptotic FitzGerald inequalities.

Bazilevic functions of type beta.

Bieberbachova domněnka

Bounded functions with positive real part

Bounded spiral-like functions with fixed second coefficient.

Bounds for the derivative of certain meromorphic functions and on meromorphic Bloch-type functions

Certain class of harmonic starlike functions with some missing coefficients.

Certain class of $p$ -valent functions defined by Dziok-Srivastava linear operator.

Certain classes of analytic functions of complex order.

Certain coefficient inequalities for Sakaguchi type functions and applications to fractional derivative operator.

Certain convex harmonic functions.

Certain meromorphic harmonic functions.

Certain subclass of alpha-convex bi-univalent functions defined using $q$ -derivative operator

Certain subclass of harmonic prestarlike functions in the parabolic region.

Certain subclasses of convex functions with positive and missing coefficients by using a fixed point.

Certain subclasses of the class of typically real functions

Certain sufficiency conditions on Gaussian hypergeometric functions.

Certain sufficient conditions for a subclass of analytic functions associated with Hohlov operator

Currently displaying 21 – 40 of 278