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New subclasses of analytic functions associated with the q-Bernardi integral operator and special number sequences | ||
| Journal of Hyperstructures | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 خرداد 1405 اصل مقاله (1.6 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2026.18345.1137 | ||
| نویسندگان | ||
| Naila Akhter1؛ Kurrat Ul Ain2؛ Mirajul Haq* 1؛ Muhammad Arif1؛ Mustaqeem Khan1؛ Khalil Ullah1 | ||
| 1Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan | ||
| 2Department of Mathematics, National University of Modern Languages, H-9 Islamabad, Pakistan | ||
| چکیده | ||
| This paper introduces two subclasses of analytic functions associated with the q-Bernardi integral operator. These subclasses are defined by using the q-derivative together with special functions whose coefficients are Bernoulli numbers and generalized telephone numbers. We establish inclusion-type results for the proposed classes and investigate the corresponding quasi-subordination and majorization problems. In particular, sufficient radius conditions are obtained under which the q-derivatives of majorized functions satisfy the required comparison inequalities. | ||
| کلیدواژهها | ||
| Analytic functions؛ Starlike functions؛ q-Bernardi integral operator؛ Quasi-subordination؛ Majorization | ||
| مراجع | ||
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[1] F. H. Jackson, On q-definite integrals, Quart. J. Pure Appl. Math., 41 (1910), 193–203. [2] H. M. Srivastava, Some generalizations and basic (or q-) extensions of the Bernoulli, Euler and Genocchi polynomials, Appl. Math. Inf. Sci., 5 (2011), 390–444. [3] M. E. H. Ismail, E. Merkes and D. Styer, A generalization of starlike functions, Complex Variables Theory Appl., 14 (1990), 77–84. [4] S. D. Purohit and R. K. Raina, Certain subclasses of analytic functions associated with fractional qcalculus operators, Math. Scand., 109 (2011), 55–70. [5] S. K. Sahoo and N. L. Sharma, On a generalization of close-to-convex functions, arXiv preprint arXiv:1404.3268, (2014). [6] K. A. Selvakumaran, S. D. Purohit, A. Secer and M. Bayram, Convexity of certain integral operators of p-valent functions, Abstract and Applied Analysis, 2014 (2014). [7] S. D. Bernardi, Convex and starlike univalent functions, Trans. Amer. Math. Soc., 135 (1969), 429–446. [8] R. J. Libera, Some classes of regular univalent functions, Proc. Amer. Math. Soc., 16 (1965), 755–758. [9] M. Arif and B. Ahmad, New subfamily of meromorphic multivalent starlike functions in circular domain involving q-differential operator, Math. Slovaca, 68 (2018), 1049–1056. [10] K. I. Noor, S. Riaz and M. A. Noor, On q-Bernardi integral operator, TWMS J. Pure Appl. Math., 8 (2017). [11] T. H. MacGregor, Majorization by univalent functions, Duke Math. J., 34 (1967), 95–102. [12] M. S. Robertson, Quasi-subordination and coefficient conjectures, Bull. Amer. Math. Soc., 76 (1970), 1–9. [13] L. de Branges, A proof of the Bieberbach conjecture, Acta Math., 154 (1985), 137–152. [14] L. E. S. Coen, Sums of powers and the Bernoulli numbers, College Math. J., 27 (1996), 178–184. [15] W. Ma, A unified treatment of some special classes of univalent functions, Proceedings of the Conference on Complex Analysis, International Press Inc., (1992). [16] S. Chowla, I. N. Herstein and W. K. Moore, On recursions connected with symmetric groups I, Canad. J. Math., 3 (1951), 328–334. [17] D. E. Knuth, The Art of Computer Programming, Vol. 2, Reading, MA: Addison-Wesley, (1973). [18] A. Wloch and M. Wolowiec-Musial, On generalized telephone numbers, their interpretations and matrix generators, Util. Math., 105 (2017), 31–39. [19] E. Deniz, Sharp coefficients bounds for starlike functions associated with generalized telephone numbers, Bull. Malays. Math. Sci. Soc., 44 (2021), 1525–1542. | ||
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