KaydedilenlerDerginizi ekleyin

Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 71 Issue: 1

q-Meromorphic closed-to-convex functions related with Janowski function

F. Müge Sakar(DICLE UNIVERSITY)0000-0002-3884-3957
Syed Ghoos Ali Shah(Comsats University Islamabad)0000-0003-4283-8058
Saqib Hussain(International Islamic University Islamabad)0000-0002-8174-8795
Akhter Rasheed(Comsats University Islamabad)0000-0003-3810-5214
Muhammad Naeem(International Islamic University Islamabad)0000-0002-9069-3095
Sayfa
—
Yayın Tarihi
2022-03-30
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

It is important to mentioned that our results are generalization of number of existing results in literature.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the present paper, we introduce and explore certain new classes of meromorphic functions related with closed-to-convexity and q-calculus.
📊
Temel Bulgular & Veri:Such results as coefficient estimates, grow the property and partial sums are derived.
💡
Sonuç & Katkı:It is important to mentioned that our results are generalization of number of existing results in literature.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Meromorphic starlike function · Janowski functions · q-derivative

Abstract

In the present paper, we introduce and explore certain new classes of meromorphic functions related with closed-to-convexity and q-calculus. Such results as coefficient estimates, grow the property and partial sums are derived. It is important to mentioned that our results are generalization of number of existing results in literature.

🔖

Bu Makaleye Atıf Yap

Sakar, F. M., Shah, S. G. A., Hussain, S., Rasheed, A., Naeem, M. (2022). q-Meromorphic closed-to-convex functions related with Janowski function. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 1. https://doi.org/10.31801/cfsuasmas.883970

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (30)

  1. Aouf, M. K., Silverman, H., Partial sums of certain meromorphic p-valent functions, J. Inequal. Pure Appl. Math., 7(4), Article 119, (2006).
  2. Aral, A., Gupta, V., Agarwal, R. P., Applications of q-Calculus in Operator Theory, Springer, New York, USA, 2013.
  3. Cho, N. E., Owa, S., Sufficient conditions for meromorphic starlikeness and close to-convexity of order α, Int. J. Math. Sci., 26(5) (2001), 317-319. DOI:10.1155/S0161171201004550
  4. Clunie, J., On meromorphic schlicht functions, J. London Math. Soc., 34 (1959), 215-216.
  5. Darus, M., Hussain, S., Raza, M., Sokol, J., On a subclass of starlike functions, Results in Mathematics, 73 (2018), 1-12.
  6. Gasper, G., Rahman, M., Basic Hypergeometric Series, Cambridge University Press Cambridge, 1990.
  7. Hussain, S., Srivastava, H. M., Raziq, A., Raza, M., The Fekete-Szego functional for subclass of analytic functions associated with quasi-subordination, Carpathian J. Math., 34 (2018), 103-113.
  8. Ismail, M. E. H., Merkes, E., Styer, D., A generalization of starlike functions, Complex Var. Theory Appl., 14 (1990), 77-84.
  9. Jackson, F. H., On q-definite integrals, Quart. J. Pure Appl. Math., 41 (1910), 193–203.
  10. Jackson, F. H., q-difference equations, Am. J. Math., 32 (1910), 305–314.
  11. Janowski, W., Some extrenal problems for certain families of analytic functions, Ann. Pol. Math., 28 (1973), 297–326.
  12. Khan, B., Liu, Z. G., Srivastava,H. M., Khan, N., Darus, M., Tahir, M., A study of some families of multivalent q-starlike functions involving higher-order q-derivatives, Mathematics, 8 (2020), Article ID 1470, 1-12. DOI:10.3390/math8091470
  13. Khan, N., Shafiq, M., Darus, M., Khan, B., Ahmad, Q. Z., it Upper bound of the third Hankel determinant for a subclass of q-starlike functions associated with Lemniscate of Bernoulli, J. Math. Inequal., 1 (2020), 51–63. DOI:10.7153/jmi-2020-14-05
  14. Miller, J. E., Convex meromrphic mapping and related functions, Proc. Amer. Math. Soc., 25 (1970), 220-228.
  15. Miller, S. S., Mocanu, P. T., Differential subordination and univalent functions, Mich. Math. J., 28 (1918), 157–171.
  16. Miller, S. S., Mocanu, P. T., Differential Subordination Theory and Applications Series on Monographs and Textbooks in Pure and Applied Mathematics, Vol. 225, Marcel Dekker Inc., New York, 2000.
  17. Mahmood, S., Ahmed, q. Z., Srivastava, H. M., Khan, N., Khan, B., Tahir, M., A certain subclass of meromorphically q-starlike functions associated with the Janowski function, J. Inequal. Appl. Math., 2019(88) (2019), 1-11. https://doi.org/10.1186/s13660-019-2020-z
  18. Naeem, M., Hussain, S., Sakar, F. M., Mahmood T., Rasheed, A., Subclasses of uniformly convex and starlike functions associated with Bessel functions, Turkish Journal of Mathematics, 2019(43) (2019), 2433-2443. DOI:10.3906/mat-1905-27
  19. Owa, s., Srivastava, H. M., Current Topics in Analytic Function Theory, World Scientific, Singapore, 1992. https://doi.org/10.1142/1628
  20. Pommerenke, C., On meromorphic starlike functions. Pac. J. Math., 13 (1963), 221–235.
  21. Rasheed, A., Hussain, S., Shah, S. G. A., Darus, M., Lodhi, S., Majorization problem for two subclasses of meromorphic functions associated with a convolution operator, AIMS Mathematics, 5(5) (2020), 5157–5170. doi: 10.3934/math.2020331
  22. Srivastava, H. M., Operators of basic (or q-) calculus and fractional q-calculus and their applications in geometric function theory of complex analysis, Iran. J. Sci. Technol. Trans. A: Sci., 44(2020) (2020), 327–344.
  23. Srivastava, H. M., Tahir, M., Khan, B., Ahmad, Q. Z., Khan, N., Some general families of q-starlike functions associated with the Janowski functions, Filomat, 33(9) (2019), 2613–2626. https://doi.org/10.2298/FIL1909613S
  24. Shah, S. G. A., Hussain, S., Rasheed, A., Shareef, Z., Darus, M., Application of quasi subordination to certain classes of meromorphic functions, Journal of Function Spaces, Vol. (2020), Article ID 4581926, 8 pages. https://doi.org/10.1155/2020/4581926
  25. Srivastava, H. M., Hossen, H. M., Aouf, M, K., A unified presentation of some classes of meromorphically multivalent functions, Comput. Math. Appl., 38(11-12), (1999), 63-70.
  26. Srivastava, H. M., Bansal, D., Close-to-convexity of a certain family of q-Mittag-Leffler functions, J. Nonlinear Var. Anal., 1 (2017), 61–69.
  27. Srivastava, H. M., Tahir, M., Khan, B., Ahmed, Q. Z., Khan, N., Some general classes of q-starlike functions associated with the Janowski function, Symmetry, 11 (2019), Article ID 292, 1-14. DOI:10.3390/sym11020292
  28. Swaminathan, K., Raghavendar, A close-to-convexi of basic hypergeometric functions using their Taylor coefficients, J. Math. Appl., 35 (2012), 111–125.
  29. Shah, S. G. A., Noor, S., Darus, M., W. Ul Haq, S. Hussain, On meromorphic functions defined by a new class of liu-srivastava integral operator, International Journal of Analysis and Applications, 18(6) (2020), 1056-1065.
  30. Wongsaijai, B., Sukantamala, N., Certain properties of some families of generalized starlike functions with respect to q-calculus. Abstr. Appl. Anal., (2016), 1-8. https://doi.org/10.1155/2016/6180140