Convexity and inequalities related to extended beta and confluent hypergeometric functions
Copyright policy )Convexity and inequalities related to extended beta and confluent hypergeometric functions
En el artículo, los autores establecen la convexidad logarítmica y algunas desigualdades para la función beta extendida y, mediante el uso de estas desigualdades para la función beta extendida, encuentran la convexidad logarítmica y la monotonicidad para la función hipergeométrica confluente extendida.
Dans l'article, les auteurs établissent la convexité logarithmique et certaines inégalités pour la fonction bêta étendue et, en utilisant ces inégalités pour la fonction bêta étendue, trouvent la convexité logarithmique et la monotonie pour la fonction hypergéométrique confluente étendue.
In the paper, the authors establish the logarithmic convexity and some inequalities for the extended beta function and, by using these inequalities for the extended beta function, find the logarithmic convexity and the monotonicity for the extended confluent hypergeometric function.
في الورقة، أنشأ المؤلفون التحدب اللوغاريتمي وبعض المتباينات لوظيفة بيتا الموسعة، وباستخدام هذه المتباينات لوظيفة بيتا الموسعة، وجدوا التحدب اللوغاريتمي والرتابة لوظيفة فرط الهندسة المتلاصقة الموسعة.
- Prince Sattam Bin Abdulaziz University Saudi Arabia
- National University of Mongolia Mongolia
- Shaheed Benazir Bhutto University Pakistan
- Inner Mongolia University for Nationalities China (People's Republic of)
- Tianjin Polytechnic University China (People's Republic of)
Financial economics, logarithmic convexity, inequality, Economics, extended beta function, Confluent hypergeometric function, Relationship between string theory and quantum field theory, Evolutionary biology, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Quantum mechanics, Convexity of real functions in one variable, generalizations, Quantum, Convexity, Beta function (physics), QA1-939, FOS: Mathematics, Logarithm, Hypergeometric function, Gamma, beta and polygamma functions, Biology, BETA (programming language), Applied Mathematics, Physics, Geometric Function Theory and Complex Analysis, Pure mathematics, Hypergeometric distribution, Quantum gravity, Stability of Functional Equations in Mathematical Analysis, monotonicity, extended confluent hypergeometric function, [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA], Computer science, Programming language, Function (biology), Physical Sciences, Inequalities for sums, series and integrals, Geometry and Topology, Inequalities involving other types of functions, Mathematics, Monotonic function, Hypergeometric Functions
Financial economics, logarithmic convexity, inequality, Economics, extended beta function, Confluent hypergeometric function, Relationship between string theory and quantum field theory, Evolutionary biology, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Quantum mechanics, Convexity of real functions in one variable, generalizations, Quantum, Convexity, Beta function (physics), QA1-939, FOS: Mathematics, Logarithm, Hypergeometric function, Gamma, beta and polygamma functions, Biology, BETA (programming language), Applied Mathematics, Physics, Geometric Function Theory and Complex Analysis, Pure mathematics, Hypergeometric distribution, Quantum gravity, Stability of Functional Equations in Mathematical Analysis, monotonicity, extended confluent hypergeometric function, [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA], Computer science, Programming language, Function (biology), Physical Sciences, Inequalities for sums, series and integrals, Geometry and Topology, Inequalities involving other types of functions, Mathematics, Monotonic function, Hypergeometric Functions
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