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Hankel and Toeplitz Determinants for q -Analog Functions Defined by Linear Multiplier q -Differintegral Operator

Author

Listed:
  • Ningegowda Ravikumar

    (PG Department of Mathematics, JSS College of Arts, Commerce and Science, Mysore 570 006, India)

  • Basem Aref Frasin

    (Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq 25113, Jordan)

  • Hari Mohan Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada)

  • Haladasanahalli Shivanna Roopa

    (PG Department of Mathematics, JSS College of Arts, Commerce and Science, Mysore 570 006, India)

  • Ibtisam Aldawish

    (Mathematics and Statistics Department, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 13318, Saudi Arabia)

Abstract

In this paper, we define new subclasses C q ( t , λ , δ , n ) and K q ( η , t , λ , δ , n ) of analytic functions by using a Linear Multiplier q-differintegral operator with a generalized binomial series. In particular, we find the Hankel, Toeplitz determinant boundary values and Fekete–Szegö-type inequality for these defined classes.

Suggested Citation

  • Ningegowda Ravikumar & Basem Aref Frasin & Hari Mohan Srivastava & Haladasanahalli Shivanna Roopa & Ibtisam Aldawish, 2026. "Hankel and Toeplitz Determinants for q -Analog Functions Defined by Linear Multiplier q -Differintegral Operator," Mathematics, MDPI, vol. 14(2), pages 1-16, January.
  • Handle: RePEc:gam:jmathe:v:14:y:2026:i:2:p:239-:d:1836249
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