In this present paper, we define a new operator in conjugation with the basic (or q-) calculus. We then make use of this newly defined operator and define a new class of analytic and bi-univalent functions associated with the q-derivative operator. Furthermore, we find the initial Taylor–Maclaurin coefficients for these newly defined function classes of analytic and bi-univalent functions. We also show that these bounds are sharp. The sharp second Hankel determinant is also given for this newly defined function class.

More from our Archive

• DOI: 10.3390/fractalfract7070521 2023

  A Predictor–Corrector Compact Difference Scheme for a Nonlinear Fractional Differential Equation

  Xiaoxuan Jiang, Jiawei Wang, Wan Wang, Haixiang Zhang

• DOI: 10.3390/fractalfract7070512 2023

  Probing Families of Optical Soliton Solutions in Fractional Perturbed Radhakrishnan–Kundu–Lakshmanan Model with Improved Versions of Extended Direct Algebraic Method

  Humaira Yasmin, Noufe H. Aljahdaly, Abdulkafi Mohammed Saeed, Rasool Shah

• DOI: 10.1093/bioinformatics/btad424 2023

  Evaluation of AlphaFold-Multimer prediction on multi-chain protein complexes

  Wensi Zhu, Aditi Shenoy, Petras Kundrotas, Arne Elofsson

• DOI: 10.3390/fractalfract7070506 2023

  Sharp Bounds of the Fekete–Szegö Problem and Second Hankel Determinant for Certain Bi-Univalent Functions Defined by a Novel q-Differential Operator Associated with q-Limaçon Domain

  Timilehin Gideon Shaba, Serkan Araci, Babatunde Olufemi Adebesin, Fairouz Tchier, Saira Zainab, Bilal Khan

• DOI: 10.1093/bioinformatics/btad437 2023

  SBOannotator: a Python tool for the automated assignment of systems biology ontology terms

  Nantia Leonidou, Elisabeth Fritze, Alina Renz, Andreas Dräger

• DOI: 10.1093/jrsssc/qlad058 2023

  Automated calibration for stability selection in penalised regression and graphical models

  Barbara Bodinier, Sarah Filippi, Therese Haugdahl Nøst, Julien Chiquet, Marc Chadeau-Hyam

• DOI: 10.3390/fractalfract7070523 2023

  The Analytical Solutions to the Fractional Kraenkel–Manna–Merle System in Ferromagnetic Materials

  Mohammad Alshammari, Amjad E. Hamza, Clemente Cesarano, Elkhateeb S. Aly, Wael W. Mohammed

• DOI: 10.1093/bioinformatics/btad418 2023

  KG-Hub—building and exchanging biological knowledge graphs

  J Harry Caufield, Tim Putman, Kevin Schaper, Deepak R Unni, Harshad Hegde, Tiffany J Callahan, Luca Cappelletti, Sierra A T Moxon, Vida Ravanmehr, Seth Carbon, Lauren E Chan, Katherina Cortes, Kent A Shefchek, Glass Elsarboukh, Jim Balhoff, Tommaso Fontana, Nicolas Matentzoglu, Richard M Bruskiewich, Anne E Thessen, Nomi L Harris, Monica C Munoz-Torres, Melissa A Haendel, Peter N Robinson, Marcin P Joachimiak, Christopher J Mungall, Justin T Reese

• DOI: 10.1093/bioinformatics/btad203 2023

  A gated graph transformer for protein complex structure quality assessment and its performance in CASP15

  Xiao Chen, Alex Morehead, Jian Liu, Jianlin Cheng

• DOI: 10.1093/bioinformatics/btad228 2023

  TSignal: a transformer model for signal peptide prediction

  Alexandru Dumitrescu, Emmi Jokinen, Anja Paatero, Juho Kellosalo, Ville O Paavilainen, Harri Lähdesmäki