Geodesic
Preserving log-convexity for generalized Pascal triangles
Moussa Ahmia1 ; Hacène Belbachir2
1Department of Mathematics, University Ferhat Abbas of Sétif
2University of Science and Technology Houari Boumediene
The electronic journal of combinatorics, Tome 19 (2012) no. 2
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We establish the preserving log-convexity property for the generalized Pascal triangles. It is an extension of a result of H. Davenport and G. Pólya "On the product of two power series", who proved that the binomial convolution of two log-convex sequences is log-convex.
DOI : 10.37236/2255
Classification : 05A19, 11B65, 52A37
Mots-clés : log-convexity, binomial convolution, generalized Pascal triangle

Moussa Ahmia  1   ; Hacène Belbachir  2

1 Department of Mathematics, University Ferhat Abbas of Sétif
2 University of Science and Technology Houari Boumediene 
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     author = {Moussa Ahmia and Hac\`ene Belbachir},
     title = {Preserving log-convexity for generalized {Pascal} triangles},
     journal = {The electronic journal of combinatorics},
     year = {2012},
     volume = {19},
     number = {2},
     doi = {10.37236/2255},
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Moussa Ahmia; Hacène Belbachir. Preserving log-convexity for generalized Pascal triangles. The electronic journal of combinatorics, Tome 19 (2012) no. 2. doi: 10.37236/2255

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