A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function
The object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants. All the results in this work are new.
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/11/1983 |
| _version_ | 1797508379893039104 |
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| author | Robert Reynolds Allan Stauffer |
| author_facet | Robert Reynolds Allan Stauffer |
| author_sort | Robert Reynolds |
| collection | DOAJ |
| description | The object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants. All the results in this work are new. |
| first_indexed | 2024-03-10T05:02:14Z |
| format | Article |
| id | doaj.art-923024447c5a48aa90e76dfd9ae7a813 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T05:02:14Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-923024447c5a48aa90e76dfd9ae7a8132023-11-23T01:42:52ZengMDPI AGSymmetry2073-89942021-10-011311198310.3390/sym13111983A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta FunctionRobert Reynolds0Allan Stauffer1Department of Mathematics and Statistics, York University, Toronto, ON M3J 1P3, CanadaDepartment of Mathematics and Statistics, York University, Toronto, ON M3J 1P3, CanadaThe object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants. All the results in this work are new.https://www.mdpi.com/2073-8994/13/11/1983Lerch functiondouble integralCatalan’s constantAprey’s constant |
| spellingShingle | Robert Reynolds Allan Stauffer A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function Symmetry Lerch function double integral Catalan’s constant Aprey’s constant |
| title | A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function |
| title_full | A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function |
| title_fullStr | A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function |
| title_full_unstemmed | A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function |
| title_short | A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function |
| title_sort | double logarithmic transform involving the exponential and polynomial functions expressed in terms of the hurwitz lerch zeta function |
| topic | Lerch function double integral Catalan’s constant Aprey’s constant |
| url | https://www.mdpi.com/2073-8994/13/11/1983 |
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