Analogue of Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\)

DOI10.1155/2011/637634zbMath1262.11101OpenAlexW2037784268WikidataQ58654375 ScholiaQ58654375MaRDI QIDQ642725

Juan-Miguel Gracia

Publication date: 27 October 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/637634

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Miscellaneous topics in measure theory (28E99)

Related Items (1)

A note on the Lebesgue-Radon-Nikodym theorem with respect to weighted \(p\)-adic invariant integral on \(\mathbb Z_p\)

Cites Work

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• New approach to \(q\)-Euler polynomials of higher order
• Special functions related to Dedekind-type DC-sums and their applications
• Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials
• Some identities on the \(q\)-Genocchi polynomials of higher-order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• On Genocchi numbers and polynomials
• On multiple interpolation functions of the \(q\)-Genocchi polynomials
• On \((i,q)\) Bernoulli and Euler numbers
• On the multiple \(q\)-Genocchi and Euler numbers
• Symmetry of power sum polynomials and multivariate fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\)
• Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)

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