\documentclass[a4paper, 12pt]{article}


% LaTeX2e
%
%\providecommand\BibTeX{B\kern-.05em%
%    \hbox{$\m@th$% %% force math size calculations
%          \csname S@\f@size\endcsname
%          \fontsize\sf@size\z@
%          \math@fontsfalse\selectfont
%          I\kern-.025emB}%
%    \kern-.08em%
%    \-\TeX}


% Oren Patashnik's original BibTeX documentation
\def\BibTeXold{{\rm B\kern-.05em{\sc i\kern-.025em b}%
\kern-.08emT\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}}
    
%
% Incidentally, \rm and \sc are deprecated. Use \textrm and \textsc instead.
%
\def\BibTeXnew{\textrm{B\kern-.05em\textsc{i\kern-.025em b}%
\kern-.08em T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}}

% Oren Patashnik's original BibTeX documentation
\def\BibTeXtit{B\kern-.05em{\large I}%
\kern-.025em{\large B}\kern-.08em\TeX ing}

%
% database for \maketitle
%
%\title{B\kern-.05em{\large I}\kern-.025em{\large B}\kern-.08em\TeX ing}
\title{\BibTeXtit}
\author{\textit{Title}: Oren Patashnik's original BibTeX documentation}
\date{\textit{Source}: https://tex.stackexchange.com/questions/18089/are-there-any-command-for-producing-the-bibtex-logo}



\begin{document}

\maketitle

\textbf{Oren}:
\vspace{0.5cm}

% Oren Patashnik's original BibTeX documentation
Title string

Código: 
\begin{verbatim}
\def\BibTeXtit{B\kern-.05em{\large I}%
\kern-.025em{\large B}\kern-.08em\TeX ing}
\end{verbatim}

% Oren Patashnik's original BibTeX documentation
\BibTeXold

Código: 
\begin{verbatim}
\def\BibTeXold{{\rm B\kern-.05em{\sc i\kern-.025em b}%
\kern-.08emT\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}}
\end{verbatim}

% Oren Patashnik's original BibTeX documentation
\BibTeXnew

Código: 
\begin{verbatim}
\def\BibTeXnew{\textrm{B\kern-.05em\textsc{i\kern-.025em b}%
\kern-.08em T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}}
\end{verbatim}

\vspace{0.5cm}

\textbf{egreg}:
\vspace{0.5cm}

% egreg
\textsc{Bib}\TeX

Código: 
\begin{verbatim}
\textsc{Bib}\TeX
\end{verbatim}

% egreg
\textsc{Bib}\negthinspace\TeX 

Código: 
\begin{verbatim}
\textsc{Bib}\negthinspace\TeX 
\end{verbatim}

% egreg
$\mathrm{B\scriptstyle IB}\!$\TeX 

Código: 
\begin{verbatim}
$\mathrm{B\scriptstyle IB}\!$\TeX 
\end{verbatim}

\vspace{0.5cm}

\textbf{Wikipedia}:
\vspace{0.5cm}

% Wikipedia
$\mathrm{B{\scriptstyle{IB}} \! T\!_{\displaystyle E} \! X}$

Código: 
\begin{verbatim}
$\mathrm{B{\scriptstyle{IB}} \! T\!_{\displaystyle E} \! X}$
\end{verbatim}

\vspace{0.5cm}

\textbf{Comandos nativos}:
\vspace{0.5cm}

%
\TeX

%
\LaTeX


\vspace{2.0cm}


\textbf{Todos juntos}:
\vspace{0.5cm}


\rule{2cm}{.1mm}

\BibTeXold

\BibTeXnew

\rule{2cm}{.1mm}

\textsc{Bib}\TeX

\textsc{Bib}\negthinspace\TeX 

$\mathrm{B\scriptstyle IB}\!$\TeX 

\rule{2cm}{.1mm}

$\mathrm{B{\scriptstyle IB}}\!\:\!$\TeX $\rightarrow$ \textbf{ASV} 

\rule{2cm}{.1mm}

$\mathrm{B{\scriptstyle{IB}} \! T\!_{\displaystyle E} \! X}$

\rule{2cm}{.1mm}

\TeX

\LaTeX

\rule{2cm}{.1mm}

\end{document}