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This paper gives a rather arbitrary choice of formulas for ($q$-)hypergeometric orthogonal polynomials which the author missed while consulting Chapters 9 and 14 in the book "Hypergeometric orthogonal polynomials and their $q$-analogues" by…

Classical Analysis and ODEs · Mathematics 2025-10-06 Tom H. Koornwinder

The paper proposes a vector generalization of the basic concepts of the theory of complex variable: the concept of modulus and argument of complex number. The author introduces some generalizations of the notion of holomorphic functions and…

Complex Variables · Mathematics 2011-05-16 A. K. Bakhtin

In this note we point out various errors in the paper by Rashmi Gupta and R. R. Saxena, Set packing problem with linear fractional objective function, International Journal of Mathematics and Computer Applications Research (IJMCAR), 4…

Data Structures and Algorithms · Computer Science 2015-09-25 Pooja Pandey

Telegraphic notes on the historical bibliography of the Gamma function and Eulerian integrals. Correction to some classical references. Some topics of the interest of the author. We provide some extensive (but not exhaustive) bibliography.…

History and Overview · Mathematics 2020-11-25 Ricardo Pérez-Marco

In this paper we will survey some recent developments in the last decade or so on variation of Geometric Invariant Theory and its applications to Birational Geometry such as the weak Factorization Theorems of nonsingular projective…

Algebraic Geometry · Mathematics 2007-05-23 Yi Hu

Geometric complexity theory (GCT) is an approach to the $P$ vs. $NP$ and related problems. A high level overview of this research plan and the results obtained so far was presented in a series of three lectures in the Institute of Advanced…

Computational Complexity · Computer Science 2009-08-19 Ketan D. Mulmuley

I have noted a number of errors, most of them quite minor, in the {\em Encyclopedia of Cosmology} (New York and London: Garland), 1993, Norriss S. Hetherington, ed. The majority occur in my mathematically verbose article, ``Fundamental…

Astrophysics · Physics 2007-05-23 Kevin Krisciunas

A mistake is pointed out in EGA I, Elements of algebraic geometry, concerning corollary (2.4.4) which is not correct. Quite likely, the hitch has already been noticed, and reported, but we know not who, nor where. New research is…

Algebraic Geometry · Mathematics 2016-10-18 Labib Haddad

Rejoinder of ``Cross-Covariance Functions for Multivariate Geostatistics'' by Genton and Kleiber [arXiv:1507.08017].

Methodology · Statistics 2015-07-31 Marc G. Genton , William Kleiber

This paper sketches the history of the Takagi function T and surveys known properties of T, including its nowhere-differentiability, modulus of continuity, graphical properties and level sets. Several generalizations of the Takagi function,…

Classical Analysis and ODEs · Mathematics 2012-08-15 Pieter Allaart , Kiko Kawamura

This comment points out a serious flaw in the article "Gouri\'eroux, Monfort, Renne (2019): Identification and Estimation in Non-Fundamental Structural VARMA Models" with regard to mirroring complex-valued roots with Blaschke polynomial…

Econometrics · Economics 2020-10-07 Bernd Funovits

In this paper, we present some new inequalities for the gamma function. The main tools are the multiple-correction method developed in our previous works, and a generalized Mortici's lemma.

Classical Analysis and ODEs · Mathematics 2015-03-18 Xiaodong Cao

In this work, generalized hypergeometric functions for bicomplex argument is introduced and its convergence criteria is derived. Furthermore, integral representation of this function has been established. Moreover, quadratic transformation,…

Complex Variables · Mathematics 2025-04-08 Snehasis Bera , Sourav Das , Abhijit Banerjee

An error in the paper [J. Math. Phys. 43, 6343 (2002); math-ph/0207009] is corrected. Further explanation is given.

Mathematical Physics · Physics 2015-06-26 Ali Mostafazadeh

There are some inaccuracies and errors in my article "Dual and almost-dual homogeneous spaces". Here I will describe in detail how to correct incorrect statements from this article and which statements there will have to be reformulated in…

Rings and Algebras · Mathematics 2020-07-29 Vladimir Gorbatsevich

The purpose of this note is to correct an inaccuracy in the paper: R.P. Agaev and P.Yu. Chebotarev, "On Determining the Eigenprojection and Components of a Matrix," Autom. Remote Control, 2002, vol. 63, pp. 1537-1545 [arXiv:math/0508197],…

Rings and Algebras · Mathematics 2011-04-04 Pavel Chebotarev , Rafig Agaev

This note corrects some omissions in section 2 of the paper "Lipschitz connectivity and filling invariants in solvable groups and buildings."

Geometric Topology · Mathematics 2016-09-21 Robert Young

We humbly and briefly offer corrections and supplements to Mathematical Constants (2003) and Mathematical Constants II (2019), both published by Cambridge University Press. Comments are always welcome.

History and Overview · Mathematics 2024-05-29 Steven Finch

We show how the formulas in paper Variae considerationes circa series hypergeometricas written by Euler imply the duplication formula for the Gamma-function. This paper can be seen as an Addendum to a previous paper by the author.

History and Overview · Mathematics 2023-07-25 Alexander Aycock

In this small note we correct an error made by Mohammadi et al. in their paper entitled "On Skew Cyclic Codes Over A Finite Ring" ( Iranian Jl. Math. Sci. Inform. Vol 14 (1) (2019), 135-145).

Information Theory · Computer Science 2022-09-20 Swati Bhardwaj , Madhu Raka