Certain Coefficient Problems for q-Starlike Functions Associated with q-Analogue of Sine Function

نویسندگان

چکیده

This study introduces a subclass Sqs* of starlike functions associated with the q-analogue sine function defined in symmetric unit disk. article comprises investigation sharp coefficient bounds, and upper bound third-order Hankel determinant for this class. It also includes findings Zalcman generalized conjectures

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

COEFFICIENT ESTIMATES OF NEW CLASSES OF q–STARLIKE AND q–CONVEX FUNCTIONS OF COMPLEX ORDER

We introduce new classes of q -starlike and q -convex functions of complex order involving the q -derivative operator defined in the open unit disc. Furthermore, we find estimates on the coefficients for second and third coefficients of these classes.

متن کامل

A q-analogue of Zhang's binomial coefficient identities

In this paper, we prove some identities for the alternating sums of squares and cubes of the partial sum of the q-binomial coefficients. Our proof also leads to a q-analogue of the sum of the first n squares due to Schlosser.

متن کامل

COEFFICIENT ESTIMATES OF NEW CLASSES OF q−STARLIKE AND q−CONVEX FUNCTIONS OF COMPLEX ORDER WITH RESPECT TO (j, k)−SYMMETRIC POINTS

We introduce new classes of q−starlike and q−convex functions of complex order with respect to (j, k)−symmetric points. Furthermore, the application of the results are also illustrated. We find estimates on the coefficients for second and third coefficients of these classes. Mathematics Subject Classification (2010): 30C45.

متن کامل

IDENTITIES FOR SUMS OF A q-ANALOGUE OF POLYLOGARITHM FUNCTIONS

We present several identities for sums of q-polylogarithm functions. Our motivation for these are the relations between the q-zeta function (see [3, 4, 12] and references therein), q-polylogarithm functions (see below) and the quantum group SUq(2). More precisely, the left regular representation of the quantum group SUq(2) is the coordinate ring A(SUq(2)) represented as a left Uq(sl(2))-module....

متن کامل

Basis properties of the p, q-sine functions

We improve the currently known thresholds for basisness of the family of periodically dilated p,q-sine functions. Our findings rely on a Beurling decomposition of the corresponding change of coordinates in terms of shift operators of infinite multiplicity. We also determine refined bounds on the Riesz constant associated with this family. These results seal mathematical gaps in the existing lit...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Symmetry

سال: 2022

ISSN: ['0865-4824', '2226-1877']

DOI: https://doi.org/10.3390/sym14102200