Logarithmic Generalization of the Lambert W Function and Its Applications to Adiabatic Thermostatistics of the Three-Parameter Entropy
A generalization of the Lambert W function called the logarithmic Lambert function is introduced and is found to be a solution to the thermostatistics of the three-parameter entropy of classical ideal gas in adiabatic ensembles. The derivative, integral, Taylor series, approximation formula, and bra...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6695559 |
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| _version_ | 1832560016947675136 |
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| author | Cristina B. Corcino Roberto B. Corcino |
| author_facet | Cristina B. Corcino Roberto B. Corcino |
| author_sort | Cristina B. Corcino |
| collection | DOAJ |
| description | A generalization of the Lambert W function called the logarithmic Lambert function is introduced and is found to be a solution to the thermostatistics of the three-parameter entropy of classical ideal gas in adiabatic ensembles. The derivative, integral, Taylor series, approximation formula, and branches of the function are obtained. The heat functions and specific heats are computed using the “unphysical” temperature and expressed in terms of the logarithmic Lambert function. |
| format | Article |
| id | doaj-art-09d1e63b52754975aabe1a24e532e20d |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-09d1e63b52754975aabe1a24e532e20d2025-02-03T01:28:31ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/66955596695559Logarithmic Generalization of the Lambert W Function and Its Applications to Adiabatic Thermostatistics of the Three-Parameter EntropyCristina B. Corcino0Roberto B. Corcino1Research Institute for Computational Mathematics and Physics, Cebu Normal University, Cebu City, PhilippinesResearch Institute for Computational Mathematics and Physics, Cebu Normal University, Cebu City, PhilippinesA generalization of the Lambert W function called the logarithmic Lambert function is introduced and is found to be a solution to the thermostatistics of the three-parameter entropy of classical ideal gas in adiabatic ensembles. The derivative, integral, Taylor series, approximation formula, and branches of the function are obtained. The heat functions and specific heats are computed using the “unphysical” temperature and expressed in terms of the logarithmic Lambert function.http://dx.doi.org/10.1155/2021/6695559 |
| spellingShingle | Cristina B. Corcino Roberto B. Corcino Logarithmic Generalization of the Lambert W Function and Its Applications to Adiabatic Thermostatistics of the Three-Parameter Entropy Advances in Mathematical Physics |
| title | Logarithmic Generalization of the Lambert W Function and Its Applications to Adiabatic Thermostatistics of the Three-Parameter Entropy |
| title_full | Logarithmic Generalization of the Lambert W Function and Its Applications to Adiabatic Thermostatistics of the Three-Parameter Entropy |
| title_fullStr | Logarithmic Generalization of the Lambert W Function and Its Applications to Adiabatic Thermostatistics of the Three-Parameter Entropy |
| title_full_unstemmed | Logarithmic Generalization of the Lambert W Function and Its Applications to Adiabatic Thermostatistics of the Three-Parameter Entropy |
| title_short | Logarithmic Generalization of the Lambert W Function and Its Applications to Adiabatic Thermostatistics of the Three-Parameter Entropy |
| title_sort | logarithmic generalization of the lambert w function and its applications to adiabatic thermostatistics of the three parameter entropy |
| url | http://dx.doi.org/10.1155/2021/6695559 |
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