Zobrazeno 1 - 10
of 191
pro vyhledávání: '"Maier, Robert S."'
Autor:
Maier, Robert S.
Ordering identities in the Weyl-Heisenberg algebra generated by single-mode boson operators are investigated. A boson string composed of creation and annihilation operators can be expanded as a linear combination of other such strings, the simplest e
Externí odkaz:
http://arxiv.org/abs/2308.10332
The use of Type~Ia SNe has thus far produced the most reliable measurement of the expansion history of the Universe, suggesting that $\Lambda$CDM offers the best explanation for the redshift--luminosity distribution observed in these events. But the
Externí odkaz:
http://hdl.handle.net/10150/614767
http://arizona.openrepository.com/arizona/handle/10150/614767
http://arizona.openrepository.com/arizona/handle/10150/614767
Autor:
Maier, Robert S.
Publikováno v:
Adv. in Appl. Math. 146 (2023), 102485
Many combinatorial and other number triangles are solutions of recurrences of the Graham-Knuth-Patashnik (GKP) type. Such triangles and their defining recurrences are investigated analytically. They are acted on by a transformation group generated by
Externí odkaz:
http://arxiv.org/abs/2207.10224
Autor:
Maier, Robert S.
Publikováno v:
In Advances in Applied Mathematics May 2024 156
Autor:
Maier, Robert S.
Publikováno v:
In Advances in Applied Mathematics May 2023 146
Autor:
Maier, Robert S.
Publikováno v:
Adv. in Appl. Math. 105 (2019), 25-47
It is shown that the classical quadratic and cubic transformation identities satisfied by the hypergeometric function ${}_3F_2$ can be extended to include additional parameter pairs, which differ by integers. In the extended identities, which involve
Externí odkaz:
http://arxiv.org/abs/1808.03014
Autor:
Narayan, Gautham, Zaidi, Tayeb, Soraisam, Monika D., Wang, Zhe, Lochner, Michelle, Matheson, Thomas, Saha, Abhijit, Yang, Shuo, Zhao, Zhenge, Kececioglu, John, Scheidegger, Carlos, Snodgrass, Richard T., Axelrod, Tim, Jenness, Tim, Maier, Robert S., Ridgway, Stephen T., Seaman, Robert L., Evans, Eric Michael, Singh, Navdeep, Taylor, Clark, Toeniskoetter, Jackson, Welch, Eric, Zhu, Songzhe
The unprecedented volume and rate of transient events that will be discovered by the Large Synoptic Survey Telescope (LSST) demands that the astronomical community update its followup paradigm. Alert-brokers -- automated software system to sift throu
Externí odkaz:
http://arxiv.org/abs/1801.07323
Autor:
Maier, Robert S.
Publikováno v:
Constr. Approx. 48 (2018), no. 2, 235-281
Trigonometric formulas are derived for certain families of associated Legendre functions of fractional degree and order, for use in approximation theory. These functions are algebraic, and when viewed as Gauss hypergeometric functions, belong to type
Externí odkaz:
http://arxiv.org/abs/1702.08555
Autor:
Maier, Robert S.
It is shown that several of Brafman's generating functions for the Gegenbauer polynomials are algebraic functions of their arguments, if the Gegenbauer parameter differs from an integer by one-fourth or one-sixth. Two examples are given, which come f
Externí odkaz:
http://arxiv.org/abs/1607.05215
Autor:
Maier, Robert S.
Publikováno v:
Proc. R. Soc. A 472 (2016), 20160097
Associated Legendre functions of fractional degree appear in the solution of boundary value problems in wedges or in toroidal geometries, and elsewhere in applied mathematics. In the classical case when the degree is half an odd integer, they can be
Externí odkaz:
http://arxiv.org/abs/1602.03070