An integral operator associated with the Hurwitz–Lerch Zeta function and differential subordination

By Hari M. Srivastava, Adel A. Attiya. 2007

230 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Polymers and Plastics

View Paper: https://www.semanticscholar.org/paper/a2e7a5eaf24b2d6fa6c7f464e7b3c97016eb09eb

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In Applied Mathematics

1. Hari M. Srivastava
2. Maslina Darus
3. Nazar Khan
4. Bilal Khan
5. Muhammad Tahir
6. Jugal Kishore Prajapat
7. S. Goyal
8. Qazi Zahoor Ahmad

In Geometry and Topology

1. Hari M. Srivastava
2. Nazar Khan
3. Bilal Khan
4. Muhammad Tahir
5. Maslina Darus
6. Qazi Zahoor Ahmad
7. Jugal Kishore Prajapat
8. S. Goyal

In Polymers and Plastics

1. Hari M. Srivastava
2. Nazar Khan
3. Jugal Kishore Prajapat

Citations in the corpus

• A new class of analytic functions defined by means of a convolution operator involving the Hurwitz–Lerch Zeta function (2007, unknown): “We conclude our present investigation by mentioning that, by suitably specializing the parameters involved, some of our main results (Theorems 1 to 5 above) would yield a number of (known or new) results for relatively much simpler function classes, which were studied in several earlier works by emp”
• APPLICATIONS OF SRIVASTAVA-ATTIYA OPERATOR TO THE CLASSES OF STRONGLY STARLIKE AND STRONGLY CONVEX FUNCTIONS (2009, background): “Srivastava and Attiya in [8] (see also, [7]), introduced the following family of linear operator: Jμ,b : A −→ A , defined by Jμ,b( f )(z) = Gμ,b(z)∗ f (z) (z ∈ U; b ∈ C/Z0 ; μ ∈ C; f ∈ A ), (1.”
• Applications of a certain $q$-integral operator to the subclasses of analytic and bi-univalent functions (2021, background): “Srivastava [33] also pointed out how the Hurwitz-Lerch Zeta function as well as its multiparameter extension, which is popularly known as the λ-generalized Hurwitz-Lerch Zeta function (see, for details, [30]), have motivated the studies of several other families of extensively- and widelyinvestigate”
• Study on the q-analogue of a certain family of linear operators (2019, background): “We note that: (i) If q → 1− , then the function φq (s, b; z) reduces to the Hurwitz–Lerch zeta function and the operator J q,b coincides with the Srivastava–Attiya operator; we refer to [24, 25].”