November 18, 2025AxiomsOpen Access

On the Application of a Hypergeometric Identity to Generate Generalized Hypergeometric Reduction Formulas

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The analysis demonstrates new hypergeometric summation formulas, suggesting connections to the psi function and recursive correlations.

New hypergeometric summation formulas were derived, indicating advances in mathematical identities and their applications.
The hypergeometric identity served as a key tool to establish generalized formulas with implications for calculus and number theory.
Analysis leveraging MATHEMATICA confirmed the numerical accuracy of all derived summation results and identities.
The findings support the exploration of hypergeometric functions further, highlighting their significance in advanced mathematical frameworks.

Juan Luis González Santander (2025) studied this question.

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