Subclass of Analytic Functions Connected with Double Zeta Function
In this survey-cum-expository work, we primarily seek to study many families of the renowned Hurwitz–Lerch Zeta mapping, including the so-called generalized Hurwitz–Lerch Zeta mappings. The purpose of this study is to examine a new subclass of Hurwitz–Lerch Zeta mappings with negative coefficients i...
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| Format: | Article |
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MDPI AG
2022-09-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/9/1872 |
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| author | M. N. Srinivas Hari Niranjan Pinninti Thirupathi Reddy Bolenini Venkateswarlu Şahsene Altınkaya A. Shashikala |
| author_facet | M. N. Srinivas Hari Niranjan Pinninti Thirupathi Reddy Bolenini Venkateswarlu Şahsene Altınkaya A. Shashikala |
| author_sort | M. N. Srinivas |
| collection | DOAJ |
| description | In this survey-cum-expository work, we primarily seek to study many families of the renowned Hurwitz–Lerch Zeta mapping, including the so-called generalized Hurwitz–Lerch Zeta mappings. The purpose of this study is to examine a new subclass of Hurwitz–Lerch Zeta mappings with negative coefficients in the unit disc <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>U</mi><mo>=</mo><mo>{</mo><mi>z</mi><mo>∈</mo><mi mathvariant="double-struck">C</mi><mo>:</mo><mo>|</mo><mi>z</mi><mo>|</mo><mo><</mo><mn>1</mn><mo>}</mo><mo>.</mo></mrow></semantics></math></inline-formula> We explore fundamental characteristics of the defined class, such as coefficient inequality, neighborhoods, partial sums, and integral means properties. |
| first_indexed | 2024-03-09T22:22:22Z |
| format | Article |
| id | doaj.art-9ae17f43826b4edca550935a3b9c7bd9 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T22:22:22Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-9ae17f43826b4edca550935a3b9c7bd92023-11-23T19:12:20ZengMDPI AGSymmetry2073-89942022-09-01149187210.3390/sym14091872Subclass of Analytic Functions Connected with Double Zeta FunctionM. N. Srinivas0Hari Niranjan1Pinninti Thirupathi Reddy2Bolenini Venkateswarlu3Şahsene Altınkaya4A. Shashikala5Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, IndiaDepartment of Mathematics, School of Engineering, NNRESGI, Hyderabad 500 088, IndiaDepartment of Mathematics, GSS, GITAM University, Doddaballapur 562 163, IndiaDepartment of Mathematics, Faculty of Arts and Sciences, Beykent University, Istanbul 34500, TurkeyDepartment of Mathematics, GSS, GITAM University, Doddaballapur 562 163, IndiaIn this survey-cum-expository work, we primarily seek to study many families of the renowned Hurwitz–Lerch Zeta mapping, including the so-called generalized Hurwitz–Lerch Zeta mappings. The purpose of this study is to examine a new subclass of Hurwitz–Lerch Zeta mappings with negative coefficients in the unit disc <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>U</mi><mo>=</mo><mo>{</mo><mi>z</mi><mo>∈</mo><mi mathvariant="double-struck">C</mi><mo>:</mo><mo>|</mo><mi>z</mi><mo>|</mo><mo><</mo><mn>1</mn><mo>}</mo><mo>.</mo></mrow></semantics></math></inline-formula> We explore fundamental characteristics of the defined class, such as coefficient inequality, neighborhoods, partial sums, and integral means properties.https://www.mdpi.com/2073-8994/14/9/1872kinetic theoryfractional equationsnumerical methodsnatural transformhamiltonian dynamicsonsager reciprocal relations |
| spellingShingle | M. N. Srinivas Hari Niranjan Pinninti Thirupathi Reddy Bolenini Venkateswarlu Şahsene Altınkaya A. Shashikala Subclass of Analytic Functions Connected with Double Zeta Function Symmetry kinetic theory fractional equations numerical methods natural transform hamiltonian dynamics onsager reciprocal relations |
| title | Subclass of Analytic Functions Connected with Double Zeta Function |
| title_full | Subclass of Analytic Functions Connected with Double Zeta Function |
| title_fullStr | Subclass of Analytic Functions Connected with Double Zeta Function |
| title_full_unstemmed | Subclass of Analytic Functions Connected with Double Zeta Function |
| title_short | Subclass of Analytic Functions Connected with Double Zeta Function |
| title_sort | subclass of analytic functions connected with double zeta function |
| topic | kinetic theory fractional equations numerical methods natural transform hamiltonian dynamics onsager reciprocal relations |
| url | https://www.mdpi.com/2073-8994/14/9/1872 |
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