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Integral Transforms and Special Functions Volume 18, 2007 - Issue 4
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Original Articles

The Hankel transform of the sum of consecutive generalized Catalan numbers

Predrag M. Rajković Department of Mathematics, University of Niˇs, SerbiaCorrespondence[email protected]
,
Marko D. Petković Department of Mathematics, University of Niˇs, Serbia
&
Paul Barry School of Science, Waterford Institute of Technology, Ireland
Pages 285-296 | Received 24 Apr 2006, Published online: 20 Mar 2007

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Wathek Chammam. (2019) Generalized harmonic numbers, Jacobi numbers and a Hankel determinant evaluation. Integral Transforms and Special Functions 30:7, pages 581-593.
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Radica Bojičić, Marko D. Petković & Paul Barry. (2013) The Hankel transform of aerated sequences. Integral Transforms and Special Functions 24:9, pages 685-699.
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Radica Bojičić, Marko D. Petković & Paul Barry. (2012) The Hankel transform of a sequence obtained by series reversion. Integral Transforms and Special Functions 23:11, pages 803-816.
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Marko D. Petković, Predrag M. Rajković & Paul Barry. (2011) The Hankel transform of generalized central trinomial coefficients and related sequences. Integral Transforms and Special Functions 22:1, pages 29-44.
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Articles from other publishers (16)

Engin Ozkan & Hakan Akkus. (2023) On K-Chebsyhev Sequence. WSEAS TRANSACTIONS ON MATHEMATICS 22, pages 503-507.
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Nazmiye YILMAZ & İbrahim AKTAŞ. (2023) Special transforms of the generalized bivariate Fibonacci and Lucas polynomials. Hacettepe Journal of Mathematics and Statistics 52:3, pages 640-651.
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Engi̇n Özkan, Mi̇ne Uysal & Bahar Kuloğlu. (2021) Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials. Asian-European Journal of Mathematics 15:06.
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Kalika Prasad, Hrishikesh Mahato & Munesh Kumari. 2022. Algebra, Analysis, and Associated Topics. Algebra, Analysis, and Associated Topics 11 26 .
Asim Patra & Mohammed K. A. Kaabar. (2021) Catalan Transform of -Balancing Sequences . International Journal of Mathematics and Mathematical Sciences 2021, pages 1-6.
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Hakan AKKUŞ, Rabia Nagehan ÜREGEN & Engin ÖZKAN. (2021) A New Approach to k-Jacobsthal Lucas Sequences. Sakarya University Journal of Science 25:4, pages 969-973.
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Lili Mu, Yi Wang & Yeong-Nan Yeh. (2017) Hankel determinants of linear combinations of consecutive Catalan-like numbers. Discrete Mathematics 340:12, pages 3097-3103.
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Radica Bojičić, Marko D. Petković & Predrag M. Rajković. (2017) Hankel transforms of generalized Motzkin numbers. Mathematical Methods in the Applied Sciences 40:16, pages 5810-5820.
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Radica Bojičić & Marko D. Petković. (2015) Orthogonal Polynomials Approach to the Hankel Transform of Sequences Based on Motzkin Numbers. Bulletin of the Malaysian Mathematical Sciences Society 40:1, pages 19-33.
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Sergio Falcon. (2013) CATALAN TRANSFORM OF THE ?-FIBONACCI SEQUENCE. Communications of the Korean Mathematical Society 28:4, pages 827-832.
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Radica Bojičić. (2013) Hankel transform of a series reversion of a certain rational function. Linear Algebra and its Applications 438:11, pages 4237-4248.
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Predrag M. Rajkovi?Paul Barry & Marko D. Petkovi?. (2012) Sobolev orthogonal polynomials in computing of Hankel determinants. Linear Algebra and its Applications 437:10, pages 2417-2428.
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Marko D. Petkovi?Paul Barry & Predrag Rajkovi?. (2012) Closed-form expression for Hankel determinants of the Narayana polynomials. Czechoslovak Mathematical Journal 62:1, pages 39-57.
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. 2012. Zeta and q-Zeta Functions and Associated Series and Integrals. Zeta and q-Zeta Functions and Associated Series and Integrals 603 657 .
Naiomi T. Cameron & Andrew C.M. Yip. (2011) Hankel determinants of sums of consecutive Motzkin numbers. Linear Algebra and its Applications 434:3, pages 712-722.
Crossref
Paul Barry, Predrag M. Rajković & Marko D. Petković. 2011. Approximation and Computation. Approximation and Computation 53 60 .

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