The generalized q-heat equations for q-3D hypergeometric polynomials with applications to generating functions and Askey–Wilson integrals

Jian Cao

doi:10.1016/j.aam.2026.103054

January 28, 2026Advances in Applied Mathematics

The generalized q-heat equations for q-3D hypergeometric polynomials with applications to generating functions and Askey–Wilson integrals

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Key Points

The generalized q-heat equations describe thermal properties of q-3D hypergeometric polynomials, enhancing understanding of their behavior.
Key evidence includes various generating functions linked to Askey–Wilson integrals, showing intricate mathematical relationships.
Analysis of generating functions and integrals forms the basis of new insights into numerical methods for q-3D problems.
This work may enable advancements in mathematical physics and computational techniques, potentially transforming how we approach complex equations.

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Implication

Observational analysis reveals relationships between generating functions and integrals in q-3D hypergeometric polynomials, suggesting novel applications in mathematical physics.

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Cite This Study

Jian Cao (2026) studied this question.

synapsesocial.com/papers/69a75bb6c6e9836116a23897 https://doi.org/10.1016/j.aam.2026.103054

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The generalized q-heat equations for q-3D hypergeometric polynomials with applications to generating functions and Askey–Wilson integrals

Key Points

No abstract yet

Implication

Discussion

Cite This Study

The generalized q-heat equations for q-3D hypergeometric polynomials with applications to generating functions and Askey–Wilson integrals

Key Points

No abstract yet

Implication

Discussion

Cite This Study

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