Starlike and convex functions of complex order involving generalized multiplier transformations

Adela Osman Mostafa; Mohamed Kamal Aouf; Fatma Z. El-Emam

Mathematica Bohemica (2021)

  • Volume: 146, Issue: 3, page 305-313
  • ISSN: 0862-7959

Abstract

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We investigate the starlike, convex and close-to-convex functions of complex order involving generalized multiplier transformations by means of the Hadamard product.

How to cite

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Mostafa, Adela Osman, Aouf, Mohamed Kamal, and El-Emam, Fatma Z.. "Starlike and convex functions of complex order involving generalized multiplier transformations." Mathematica Bohemica 146.3 (2021): 305-313. <http://eudml.org/doc/298259>.

@article{Mostafa2021,
abstract = {We investigate the starlike, convex and close-to-convex functions of complex order involving generalized multiplier transformations by means of the Hadamard product.},
author = {Mostafa, Adela Osman, Aouf, Mohamed Kamal, El-Emam, Fatma Z.},
journal = {Mathematica Bohemica},
keywords = {starlike; convex; close-to-convex; complex order; Hadamard product; generalized multiplier transformations},
language = {eng},
number = {3},
pages = {305-313},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Starlike and convex functions of complex order involving generalized multiplier transformations},
url = {http://eudml.org/doc/298259},
volume = {146},
year = {2021},
}

TY - JOUR
AU - Mostafa, Adela Osman
AU - Aouf, Mohamed Kamal
AU - El-Emam, Fatma Z.
TI - Starlike and convex functions of complex order involving generalized multiplier transformations
JO - Mathematica Bohemica
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 146
IS - 3
SP - 305
EP - 313
AB - We investigate the starlike, convex and close-to-convex functions of complex order involving generalized multiplier transformations by means of the Hadamard product.
LA - eng
KW - starlike; convex; close-to-convex; complex order; Hadamard product; generalized multiplier transformations
UR - http://eudml.org/doc/298259
ER -

References

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  1. Al-Amiri, H. S., Fernando, T. S., 10.1155/S0161171290000473, Int. J. Math. Math. Sci. 13 (1990), 321-330. (1990) Zbl0702.30012MR1052530DOI10.1155/S0161171290000473
  2. Al-Oboudi, F. M., 10.1155/S0161171204108090, Int. J. Math. Math. Sci. 2004 (2004), 1429-1436. (2004) Zbl1072.30009MR2085011DOI10.1155/S0161171204108090
  3. Aouf, M. K., 10.1155/S0161171288000316, Int. J. Math. Math. Sci. 11 (1988), 259-266. (1988) Zbl0645.30008MR0939080DOI10.1155/S0161171288000316
  4. Cătaş, A., Oros, G. I., Oros, G., 10.1155/2008/845724, Abstr. Appl. Anal. 2008 (2008), Article ID 845724, 11 pages. (2008) Zbl1153.30021MR2407285DOI10.1155/2008/845724
  5. Cho, N. E., Srivastava, H. M., 10.1016/S0895-7177(03)80004-3, Math. Comput. Modelling 37 (2003), 39-49. (2003) Zbl1050.30007MR1959457DOI10.1016/S0895-7177(03)80004-3
  6. Choi, J. H., Starlike and convex functions of complex order involving a certain fractional integral operator, RIMS Kokyuroku 1012 (1997), 1-13. (1997) Zbl0932.30011MR1630050
  7. Nasr, M. A., Aouf, M. K., On convex functions of complex order, Mansoura Sci. Bull. Egypt 9 (1982), 565-582. (1982) 
  8. Nasr, M. A., Aouf, M. K., Starlike function of complex order, J. Nat. Sci. Math. 25 (1985), 1-12. (1985) Zbl0596.30017MR0805912
  9. Robertson, M. I. S., 10.2307/1968451, Ann. Math. (2) 37 (1936), 374-408. (1936) Zbl0014.16505MR1503286DOI10.2307/1968451
  10. Ruscheweyh, S., Sheil-Small, T., 10.1007/BF02566116, Comment Math. Helv. 48 (1973), 119-135. (1973) Zbl0261.30015MR0328051DOI10.1007/BF02566116
  11. Sălăgean, G. Ş., 10.1007/BFb0066543, Complex Analysis: Fifth Romanian-Finnish Seminar, Part 1 Lecture Notes in Mathematics 1013. Springer, Berlin (1983), 362-372. (1983) Zbl0531.30009MR0738107DOI10.1007/BFb0066543
  12. Uralegaddi, B. A., Somanatha, C., 10.1142/9789814355896_0032, Current Topics in Analytic Function Theory World Scientific, Singapore (1992), 371-374. (1992) Zbl0987.30508MR1232456DOI10.1142/9789814355896_0032
  13. Wiatrowski, P., On the coefficients of some family of regular functions, Zesz. Nauk. Uniw. Lodz., Ser. II, Nauki Mat.-Przyrodn. 39 (1970), 75-85 Polish. (1970) Zbl0215.41603MR0338350

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