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Integral Transforms and Special Functions Volume 18, 2007 - Issue 12
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Original Articles

A new class of analytic functions defined by means of a convolution operator involving the Hurwitz–Lerch Zeta function

Dorina Răducanu Department of Mathematics and Computer Science, ‘Transilvania’ University of Braşov, R-50091 Iuliu Maniu 50, Braşov, Romania
&
H. M. Srivastava Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, V8W 3P4, CanadaCorrespondence[email protected]
Pages 933-943 | Received 27 Jun 2007, Published online: 07 Dec 2007

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Irem Kucukoğlu, Yilmaz Simsek & H.M. Srivastava. (2019) A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials. Quaestiones Mathematicae 42:4, pages 465-478.
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H.M. Srivastava, Sébastien Gaboury & F. Ghanim. (2015) Certain subclasses of meromorphically univalent functions defined by a linear operator associated with the λ-generalized Hurwitz–Lerch zeta function. Integral Transforms and Special Functions 26:4, pages 258-272.
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Zhi-Gang Wang, Zhi-Hong Liu & Yong Sun. (2012) Some properties of the generalized Srivastava–Attiya operator. Integral Transforms and Special Functions 23:3, pages 223-236.
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G. Murugusundaramoorthy. (2012) Subordination results for spiral-like functions associated with the Srivastava–Attiya operator. Integral Transforms and Special Functions 23:2, pages 97-103.
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H. M. Srivastava, Ram K. Saxena, Tibor K. Pogány & Ravi Saxena. (2011) Integral and computational representations of the extended Hurwitz–Lerch zeta function. Integral Transforms and Special Functions 22:7, pages 487-506.
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Jin-Lin Liu. (2011) Sufficient conditions for strongly star-like functions involving the generalized Srivastava–Attiya operator. Integral Transforms and Special Functions 22:2, pages 79-90.
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Khalida Inayat Noor & Syed Zakar Hussain Bukhari. (2010) Some subclasses of analytic and spiral-like functions of complex order involving the Srivastava–Attiya integral operator. Integral Transforms and Special Functions 21:12, pages 907-916.
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Saiful R. Mondal & A. Swaminathan. (2010) Geometric properties of generalized polylogarithm. Integral Transforms and Special Functions 21:9, pages 691-701.
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Khalida Inayat Noor. (2010) Applications of certain operators to the classes related with generalized Janowski functions. Integral Transforms and Special Functions 21:8, pages 557-567.
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Zhi-Gang Wang, Qing-Guo Li & Yue-Ping Jiang. (2010) Certain subclasses of multivalent analytic functions involving the generalized Srivastava–Attiya operator. Integral Transforms and Special Functions 21:3, pages 221-234.
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Jin-Lin Liu. (2008) Subordinations for certain multivalent analytic functions associated with the generalized Srivastava–Attiya operator. Integral Transforms and Special Functions 19:12, pages 893-901.
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Sorin G. Gal. (2008) Approximation and geometric properties of some nonlinear complex integral convolution operators. Integral Transforms and Special Functions 19:5, pages 367-375.
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Articles from other publishers (31)

Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Daniel Breaz & Luminiţa-Ioana Cotîrlǎ. (2023) Subclasses of Noshiro-Type Starlike Harmonic Functions Involving q-Srivastava–Attiya Operator. Mathematics 11:23, pages 4711.
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Mostafa Jafari, Ahmad Motamednezad & Ebrahim Analouei Adegani. (2022) Coefficient estimates for a subclass of analytic functions by Srivastava-Attiya operator. Studia Universitatis Babes-Bolyai Matematica 67:4, pages 739-747.
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Daniel Breaz, Kadhavoor R. Karthikeyan, Elangho Umadevi & Alagiriswamy Senguttuvan. (2022) Some Properties of Bazilevič Functions Involving Srivastava–Tomovski Operator. Axioms 11:12, pages 687.
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Bolineni Venkateswarlu, Pinninti Thirupathi Reddy, Galla Swapna & Rompilli Madhuri Shilpa. (2022) Certain classes of analytic functions defined by Hurwitz–Lerch zeta function. Journal of Applied Analysis 28:1, pages 73-81.
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Yilmaz Simsek. 2022. Approximation and Computation in Science and Engineering. Approximation and Computation in Science and Engineering 783 860 .
Khalida Inayat Noor, Muhammad Kamran & Shujaat Ali Shah. (2020) Some Inclusion and Radius Problems of Certain Subclasses of Analytic Functions. Earthline Journal of Mathematical Sciences, pages 75-86.
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Rizwan Salim Badar & Khalida Inayat Noor. (2020) q-Generalized Linear Operator on Bounded Functions of Complex Order. Mathematics 8:7, pages 1149.
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F Ghanim, Anas Aljarah & Hiba F Al-Janaby. (2020) Classes of Analytic Functions Involving a Generalization by the Srivastava-Attiya Operator. Journal of Physics: Conference Series 1562:1, pages 012005.
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Hiba Al-Janaby, Firas Ghanim & Maslina Darus. (2020) On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions. Mathematics 8:5, pages 845.
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S. Z. H. Bukhari, K. I. Noor & B. Malik. (2017) Some Applications of Generalized Srivastava–Attiya Integral Operator. Iranian Journal of Science and Technology, Transactions A: Science 42:4, pages 2251-2257.
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Jonathan Mosiun & Suzeini Halim. (2018) Properties of Functions Involving Struve Function. Mathematics 6:11, pages 240.
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Tugba Yavuz. (2016) COEFFICIENT ESTIMATES FOR CERTAIN SUBCLASS FOR SPIRALLIKE FUNCTIONS DEFINED BY MEANS OF GENERALIZED ATTIYA-SRIVASTAVA OPERATOR. Communications of the Korean Mathematical Society 31:4, pages 703-712.
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Hari M Srivastava & Sebastien Gaboury. (2015) A new class of analytic functions defined by means of a generalization of the Srivastava-Attiya operator. Journal of Inequalities and Applications 2015:1.
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H.M. Srivastava, S. Gaboury & F. Ghanim. (2015) Some further properties of a linear operator associated with the -generalized Hurwitz–Lerch zeta function related to the class of meromorphically univalent functions . Applied Mathematics and Computation 259, pages 1019-1029.
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H.M. Srivastava, S. Gaboury & F. Ghanim. (2015) A unified class of analytic functions involving a generalization of the Srivastava–Attiya operator. Applied Mathematics and Computation 251, pages 35-45.
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Yilmaz Simsek. 2014. Analytic Number Theory, Approximation Theory, and Special Functions. Analytic Number Theory, Approximation Theory, and Special Functions 149 214 .
Hari MSrivastavaSrivastava. (2013) Generating relations and other results associated with some families of the extended Hurwitz-Lerch Zeta functions. SpringerPlus 2:1.
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Sebastien Gaboury. (2013) Some relations involving generalized Hurwitz-Lerch zeta function obtained by means of fractional derivatives with applications to Apostol-type polynomials. Advances in Difference Equations 2013:1.
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Hacer Ozden & Yilmaz Simsek. (2013) Unified representation of the family of L-functions. Journal of Inequalities and Applications 2013:1.
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H. M. Srivastava, Dorina Răducanu & Grigore S. Sălăgean. (2013) A new class of generalized close-to-starlike functions defined by the Srivastava-Attiya operator. Acta Mathematica Sinica, English Series 29:5, pages 833-840.
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Nihat Yagmur & Halit Orhan. (2013) Starlikeness and Convexity of Generalized Struve Functions. Abstract and Applied Analysis 2013, pages 1-6.
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H.M. Srivastava, Hacer Özden, Ismail Naci Cangül & Yilmaz Simsek. (2012) A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the L-functions. Applied Mathematics and Computation 219:8, pages 3903-3913.
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M.K. Aouf, A. Shamandy, A.O. Mostafa & Eman A. Adwan. (2012) Sandwich Results for Certain Subclasses of Multivalent Analytic Functions Defined by Srivastava-Attiya Operator. Kyungpook mathematical journal 52:2, pages 209-222.
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. 2012. Zeta and q-Zeta Functions and Associated Series and Integrals. Zeta and q-Zeta Functions and Associated Series and Integrals 603 657 .
H. M. Srivastava. 2012. Essays in Mathematics and its Applications. Essays in Mathematics and its Applications 431 461 .
Yong Sun, Wei-Ping Kuang & Zhi-Gang Wang. (2011) Properties for uniformly starlike and related functions under the Srivastava-Attiya operator. Applied Mathematics and Computation 218:7, pages 3615-3623.
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Shao-Mou Yuan & Zai-Ming Liu. (2011) Some properties of two subclasses of k-fold symmetric functions associated with Srivastava–Attiya operator. Applied Mathematics and Computation 218:3, pages 1136-1141.
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G. Murugusundaramoorthy, K. Uma & M. Darus. (2011) Partial Sums of Generalized Class of Analytic Functions Involving Hurwitz-Lerch Zeta Function. Abstract and Applied Analysis 2011, pages 1-9.
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Hacer Ozden, Yilmaz Simsek & H.M. Srivastava. (2010) A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials. Computers & Mathematics with Applications 60:10, pages 2779-2787.
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Yilmaz Simsek & H.M. Srivastava. (2010) A family of p-adic twisted interpolation functions associated with the modified Bernoulli numbers. Applied Mathematics and Computation 216:10, pages 2976-2987.
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G. Murugusundaramoorthy & K. Uma. (2010) Certain subclasses of starlike functions of complex order involving the Hurwitz—Lerch Zeta function. Annales UMCS, Mathematica 64:2.
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