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@article{BASM_2021_3_a1, author = {Mallikarjun G. Shrigan and Sibel Yalcin and Sahsene Altinkaya}, title = {Unified approach to starlike and convex functions involving {Poisson} distribution series}, journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica}, pages = {11--20}, publisher = {mathdoc}, number = {3}, year = {2021}, language = {en}, url = {http://geodesic.mathdoc.fr/item/BASM_2021_3_a1/} }
TY - JOUR AU - Mallikarjun G. Shrigan AU - Sibel Yalcin AU - Sahsene Altinkaya TI - Unified approach to starlike and convex functions involving Poisson distribution series JO - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica PY - 2021 SP - 11 EP - 20 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BASM_2021_3_a1/ LA - en ID - BASM_2021_3_a1 ER -
%0 Journal Article %A Mallikarjun G. Shrigan %A Sibel Yalcin %A Sahsene Altinkaya %T Unified approach to starlike and convex functions involving Poisson distribution series %J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica %D 2021 %P 11-20 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/BASM_2021_3_a1/ %G en %F BASM_2021_3_a1
Mallikarjun G. Shrigan; Sibel Yalcin; Sahsene Altinkaya. Unified approach to starlike and convex functions involving Poisson distribution series. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2021), pp. 11-20. http://geodesic.mathdoc.fr/item/BASM_2021_3_a1/
[1] Altinkaya S., Yalcin S., “Poisson distribution series for analytic univalent functions”, Complex Anal. Oper. Theory, 12:5 (2017), 1315–1319 | DOI | MR
[2] Altintas O., Owa S., “On subclasses of univalent functions with negative coefficients”, Pusan Kyǒngnam Math. J., 4 (1988), 41–56 | MR
[3] Baricz A., “Geometric properties of generalized Bessel functions”, Publ. Math. Debrecen, 73 (2008), 155–178 | MR | Zbl
[4] Bharati R., Parvatham R., Swaminathan A., “On subclasses of uniformly convex functions and corresponding class of starlike functions”, Tamkang J. Math., 26:1 (1997), 17–32 | DOI | MR
[5] Cho N. E., Woo S. Y., Owa S., “Uniformly convexity properties for hypergeometric functions”, Fract. Calc. Appl. Anal., 5:3 (2002), 303–313 | MR | Zbl
[6] Deniz E., “Convexity of integral operators involving generalized Bessel functions”, Integral Transforms Spec. Funct., 24 (2013), 201–216 | DOI | MR | Zbl
[7] Dixit K. K., Pal S. K., “On a class of univalent functions related to complex order”, Indian J. Pure Appl. Math., 26:9 (1995), 889–896 | MR | Zbl
[8] Deniz E., Orhan H., Srivastava H. M., “Some sufficient conditions for univalence of certain families of integral operators involving generalized Bessel functions”, Taiwanese J. Math., 15 (2011), 883–917 | MR | Zbl
[9] Dziok J., Srivastava H. M., “Classes of analytic functions associated with the generalized hypergeometric function”, Appl. Math. Comput., 103 (1999), 1–13 | DOI | MR | Zbl
[10] El-Ashwah R. M., Kota W. Y., “Some applications of a Poisson distribution series on subclasses of univalent function”, J. Fract. Calc. Appl., 9:1 (2018), 169–179 | MR
[11] Kanas S. Wisniowska, “Conic regions and k-uniform convexity”, Comput. Appl. Math., 105 (1999), 327–336 | DOI | MR | Zbl
[12] Murugusundaramoorthy G., “Subclasses of starlike and convex functions involving Poisson distribution series”, Afr. Mat., 2017 | DOI | MR
[13] Murugusundaramoorthy G., Magesh N., “On certain subclass of analytic functions associated with hypergeometric functions”, Appl. Math. Lett., 24 (2011), 494–500 | DOI | MR | Zbl
[14] Murugusundaramoorthy G., Vijaya K., Porwal S., “Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series”, Hacettepe J. Math. Stat., 45:4 (2016), 1101–1107 | MR | Zbl
[15] Gangadharan A., Shanmugam T. N., Srivastava H. M., “Generalized hypergeometric functions associated with k-uniformly convex functions”, Comput. Math. Appl., 44 (2002), 1515–1526 | DOI | MR | Zbl
[16] Porwal S., “An application of a Poisson distribution series on certain analytic functions”, J. Complex Anal., 2014, 984135, 3 pp. | MR | Zbl
[17] Porwal S., Kumar M., “A unified study on starlike and convex functions associated with Poisson distribution series”, Afr. Mat., 27:5 (2016), 1021–1027 | DOI | MR | Zbl
[18] Swaminathan A., “Certain sufficiency conditions on hypergeometric functions”, J. Inequal. Pure Appl. Math., 5:4 (2004), 1–10 | MR
[19] Silverman H., “Univalent functions with negative coefficients”, Proc. Amer. Math. Soc., 51 (1975), 109–116 | DOI | MR | Zbl
[20] Subramanian K. G., Sudharsan T.V., Balasubrahmanyam P., Silverman H., “Classes of uniformly starlike functions”, Publ. Math. Debrecen, 53:4 (1998), 309–315 | MR | Zbl
[21] Subramanian K. G., Murugusundaramoorthy G., Balasubrahmanyam P., Silverman H., “Subclasses of uniformly convex and uniformly starlike functions”, Math. Japonica, 43:3 (1995), 517–522 | MR
[22] Srivastava H. M., Murugusundaramoorthy G., Sivasubramanian S., “Hypergeometric functions in the parabolic starlike and uniformly convex domains”, Integral Transforms Spec. Funct., 18 (2007), 511–520 | DOI | MR | Zbl
[23] Yagmur N., Orhan H., “Hardy space of generalized Struve functions”, Complex Var. Elliptic Equ., 59:7 (2014), 929–936 | DOI | MR | Zbl