Analytic and geometric function theory

No abstract yet.

• UĞUR SELAMET KIRMACI

In this paper, we introduce and investigate an interesting subclass N?h,p (?, ?) of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class N?h,p (?, ?), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|. The results presented in this paper would…

• MURAT ÇAĞLAR

In this paper, we introduce and investigate each of the following subclasses:

In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk U. By using the Faber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this analytic and bi-univalent function class. Some interesting recent developments invo…

• SEVTAP SÜMER

In this paper we establish improved Hardy and Rellich type inequalities on a Riemannian manifold $M$. Furthermore, we also obtain sharp constants for improved Hardy and Rellich type inequalities on the hyperbolic space $\mathbb {H}^n$.

In the present paper, we obtain the upper bounds for the second Hankel determinant for certain subclasses of analytic and bi-univalent functions. Moreover, several interesting applications of the results presented here are also discussed.

• ERHAN DENİZ

In the present paper, we obtain the upper bounds for the second Hankel determinant for certain subclasses of analytic and bi-univalent functions. Moreover, several interesting applications of the results presented here are also discussed.

• ERHAN DENİZ
• MURAT ÇAĞLAR

No abstract yet.

• SEVTAP SÜMER

No abstract yet.

• HARUN KARSLI

In this paper, we give a different version of the concept of p-convex functions and obtain some new properties of p-convex functions. Moreover we establish some Ostrowski type inequalities for the class of functions whose derivatives in absolute values at certain powers are p-convex.

• İMDAT İŞCAN

Abstract In this paper, we introduce and investigate new subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers. Furthermore, we find estimates of first two coefficients of functions in these classes. Also, we determine Fekete-Szegö inequalities for these function classes.

In the present work, we propose to investigate the second Hankel determinant inequalities for certain class of analytic and bi-univalent functions. Some interesting applications of the results presented here are also discussed.

• HALİT ORHAN