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On the Radius of Starlikeness of certain Analytic Functions with integral Representation

Year 1983, Volume: 32 , - , 01.01.1983
https://doi.org/10.1501/Commua1_0000000219

Abstract

In this paper we study some classes namely S* (X), K (X), V (8) and S (m, M) of functions of the form
f (z) — z + a2 z2 . . . . regular and univalent in the unit disc D = {z: | z ] < 1} and also a class P (p.) of functions of the form
p (z) — 1 + aL z -a, z2 -J- . . . .
regular in D.
For suitable restrictipns of real constants a and (3 we obtain the radius of starlikeness of order 7) of normalized analytic functions f in D defined by the general integral operatör of the form r a + p rz - ı l /a, F ( z ) - --------- h (t)3 “ ’ f(t)a d t 1
L g(z)3 J o J
where F e S* (Â). g 6 S* (jz) and (i) lı £ S (m, M) or (ii) h e K (§) or (iii) h Ç V (S) or
h(z) (iv )------S P (8). Our results are sharp and generalize almost ali known results obtained so far in z this direction.

References

  • Communications, Series A1:Mathematics and Statistics
Year 1983, Volume: 32 , - , 01.01.1983
https://doi.org/10.1501/Commua1_0000000219

Abstract

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

R.k. Pandey This is me

Publication Date January 1, 1983
Submission Date January 1, 1983
Published in Issue Year 1983 Volume: 32

Cite

APA Pandey, R. (1983). On the Radius of Starlikeness of certain Analytic Functions with integral Representation. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 32. https://doi.org/10.1501/Commua1_0000000219
AMA Pandey R. On the Radius of Starlikeness of certain Analytic Functions with integral Representation. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1983;32. doi:10.1501/Commua1_0000000219
Chicago Pandey, R.k. “On the Radius of Starlikeness of Certain Analytic Functions With Integral Representation”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 32, January (January 1983). https://doi.org/10.1501/Commua1_0000000219.
EndNote Pandey R (January 1, 1983) On the Radius of Starlikeness of certain Analytic Functions with integral Representation. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 32
IEEE R. Pandey, “On the Radius of Starlikeness of certain Analytic Functions with integral Representation”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 32, 1983, doi: 10.1501/Commua1_0000000219.
ISNAD Pandey, R.k. “On the Radius of Starlikeness of Certain Analytic Functions With Integral Representation”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 32 (January 1983). https://doi.org/10.1501/Commua1_0000000219.
JAMA Pandey R. On the Radius of Starlikeness of certain Analytic Functions with integral Representation. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1983;32. doi:10.1501/Commua1_0000000219.
MLA Pandey, R.k. “On the Radius of Starlikeness of Certain Analytic Functions With Integral Representation”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 32, 1983, doi:10.1501/Commua1_0000000219.
Vancouver Pandey R. On the Radius of Starlikeness of certain Analytic Functions with integral Representation. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1983;32.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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