Results 31 to 40 of about 42 (41)

On the Fekete‐Szegö problem

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 9, Page 577-581, 2000., 2000
Let f(z) = z + a2z2 + a3z3 + ⋯ be an analytic function in the open unit disk. A sharp upper bound is obtained for |a3−μa22| by using the classes of strongly starlike functions of order β and type α when μ ≥ 1.
B. A. Frasin, Maslina Darus
wiley   +1 more source

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, Kaliappan Vijaya, Sunil Dutt Purohit, Shyamsunder, Daya Lal Suthar, Ming-Sheng Liu   +5 more
wiley   +1 more source

Coefficient bounds for q-convex functions related to q-Bernoulli numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The main objective of this paper is to present and investigate a subclass 𝒞(b, q) of q-convex functions in the unit disk that is defined by the q-Bernoulli numbers.
Breaz Daniel, Orhan Halit, Arıkan Hava, Cotˆırlă Luminiţa-Ioana   +3 more
doaj   +1 more source

New Criteria for Functions in a Class of Meromorphically Strongly Starlike Functions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The authors propose to investigate some new criteria for a certain class of meromorphically strongly starlike functions in the punctured open unit disk. Some intriguing applications that arise as special cases of the main results, which are presented in ...
Cho Nak Eun, Kim Inhwa, Srivastava H. M.
doaj   +1 more source

Reciprocal classes of p-valently spirallike and p-valently Robertson functions

Journal of Inequalities and Applications, 2011
For p-valently spirallike and p-valently Robertson functions in the open unit disk U , reciprocal classes S p ( α , β ) , and C p ( α , β ) are introduced.
Shiraishi Hitoshi, Owa Shigeyoshi, Polatoglu Yasar, Uyanik Neslihan   +3 more
doaj  

Hankel determinant for certain new classes of analytic functions associated the activation functions. [PDF]

Heliyon, 2023
Sun Y, Arif M, Ullah K, Shi L, Faisal MI.   +4 more
europepmc   +1 more source

Bernoulli polynomials for a new subclass of Te-univalent functions. [PDF]

Heliyon
Saravanan G, Baskaran S, Vanithakumari B, Alnaji L, Shaba TG, Al-Shbeil I, Lupas AA.   +6 more
europepmc   +1 more source

Third-order Hankel determinant sharp estimates for the inverse of complex valued holomorphic functions. [PDF]

Heliyon
Abbas M, Bulboacă T, Alhefthi RK, Arif M.   +3 more
europepmc   +1 more source

Study of quantum calculus for a new subclass of bi-univalent functions associated with the cardioid domain. [PDF]

Heliyon
Matarneh K, Abubakar AA, Khan MF, Al-Shaikh SB, Kamal M.   +4 more
europepmc   +1 more source

Applications of q-Borel distribution series involving q-Gegenbauer polynomials to subclasses of bi-univalent functions. [PDF]

Heliyon
Al-Hawary T, Alsoboh A, Amourah A, Ogilat O, Harny I, Darus M.   +5 more
europepmc   +1 more source