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STUDIA MATHEMATICA - Issue no. 3 / 2023 | |||||||
Article: |
NEW SUBCLASSES OF BI-UNIVALENT FUNCTIONS CONNECTED WITH A Q-ANALOGUE OF CONVOLUTION BASED UPON THE LEGENDRE POLYNOMIALS. Authors: SHEZA M. EL-DEEB, BASSANT M. EL-MATARY. |
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Abstract: DOI: 10.24193/subbmath.2023.3.06 Received 13July 2020; Accepted 30 October 2020. Published Online: 2023-09-30 Published Print: 2023-09-30 pp. 527-542 VIEW PDF FULL PDF In this paper, we introduce new subclasses of analytic and bi-univalent functions connected with a q-analogue of convolution by using the Legendre polynomials. Furthermore, we find estimates on the first two Taylor-Maclaurin coefficients /a2/ and /a3/ for functions in these subclasses and obtain Fekete-Szegő problem for these subclasses. Mathematics Subject Classification (2010): 30C50, 30C45, 11B65, 47B38. Keywords: Legendre polynomials, convolution, q-analogue of Pascal distribution, q-analogue of poission operator, bi-univalent, coefficients bounds. |
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